IM Alg1.2.23 Practice: Solving Problems with Inequalities in Two Variables

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser.
[size=150]They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88.[/size][br]Using [math]d[/math] to represent the number of dimes collected and [math]q[/math] to represent the number of quarters, which statement best represents this situation?
A farmer is creating a budget for planting soybeans and wheat.
[size=150]Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat.[/size][br][br]Write an inequality to describe the constraints. Specify what each variable represents.
Name one solution to the inequality and explain what it represents in that situation.
Elena is ordering dried chili peppers and corn husks for her cooking class.
[size=150]Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.[br]Elena spends less than $50 on [math]d[/math] pounds of dried chili peppers and [math]h[/math] pounds of corn husks.[br][br]Here is a graph that represents this situation.[/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAADnCAYAAAAOw/ojAAAgAElEQVR4Ae2de5AV1Z3H+SNJJbEUEjWu5g+p2qrdf1JlaneDzwjJoqDJKivJqhhkSMVH1AR8EE0W7rBKEhONIMFofAQsRF7OMDADM8Mw4MyAvHF4v0VAXsMbeYgCv61vw+9ybt/T/eu+3ffevsPvVJ17u0//zqO/fT59Tj/O6Q6kThVQBRKjQIfElEQLogqoAqRAaiVQBRKkgAKZoIOhRVEFFEitA6pAghRQIBN0MLQoqoACqXVAFUiQAgpkgg6GFkUVSBSQn3zyCbFfv349LVq0KO3XrFlDH330UWi/adMmgs8lrhknaemgbEkrU9LKwxqZxzHX5Tj37dSpU55nnkQBuWfPHmIPAVasWJH2GzdupO3bt4f2CxcupCVLloSO585r1apV1NzcHDkdVIja2trI6aB8M2fOpM2bN0dOa+7cubRy5crI6Sxbtoygt1u7sOs4Gc+ePTtyOsi3uro6lnRQnnXr1kVOC/qg0fFyiQLSLGSXLl1o2LBhZlBOywBg27ZtOcU1I+3bt49Wr15tBuW0fPLkSZo/f35Ocd2R0IM4ceKEOzj0+tq1a6mtrS10PHcEVDScIKK6I0eO0Icffhg1GSc+TqJxOJTn8OHDkZOCPiUHJAr9la98hfr06RNZAAVSllCBlDW6oIEcPnw4ffnLX6ZLLrlEVkqwUCAFgYhIgZQ1uqCB/M53vkMdOnSgr3/961RTUyOr5WOhQPqIc26TAilrdMECiZs56K5efPHF9KUvfYm6d+8uq+VjoUD6iHNukwIpa3TBAvnOO+9Q586dqUePHjRo0CC69dZbZbV8LBRIH3HObVIgZY0uWCBZGgDZ1NTEqzn/K5CydAqkrJECqUCKtUQfe4gSOc+OZSvZQoFUIMVaokCKEimQskTBLLTLKuukQMoa6YsBskaBLBRIWSYFUtZIgZQ1CmShQMoyKZCyRgqkrFEgCwVSlkmBlDVSIGWNAlkokLJMCqSskQIpaxTIQoGUZVIgZY0USFmjQBYKpCyTAilrpEDKGnlaYLwZ+27dutHkyZOdsYwYz7hjxw46cOBAaL98+XJnHGMucc04GBKGwaVmWC7LGIDd2NgYOR3k/f7779OuXbsip7V48WJn9oFc9seMg1kdWltbI5cHA4sxaNpMO9fl+vr6WNJBeVAPcy0Hx4M+JTMekqdJwP+NN95IL730Es2aNcvxGPWPUe1hPSo/Km7YeG57DCquq6uLnA7e+KisrIycDspXVVVFGKXvLmvYdVTaefPmRU4HrzpC77D5u+3R8mOUjzs8l3Wc1HOJ546D8qBc7vCw69CnZIA0m07tsppq2Je1y2rXxQzVLqupRoRlBVIWT4GUNVIgZY0CWSiQskwKpKyRAilrFMiiZ8+e1NLSEsjWz0iHX/mpc3abDr+SNbrgR3sokHIl0RZS1khbSFmjQBYKpCyTAilrpEDKGgWyUCBlmRRIWSMFUtYokIUCKcukQMoaKZCyRoEsFEhZJgVS1kiBlDUKZKFAyjIpkLJGCqSsUSALBVKWSYGUNVIgZY0CWSiQskwKpKyRAilrFMhCgZRlUiBljUoOSHzzLolOgZSPigIpa6RAyhrRwYMHRSsFUpTIGQ6k34f010mB9NeH+vXrRwMGDHA8Pjvn5RRIL2XOh2sLeV4LryUF0kuZc+Fdu3ZNW5jLCDxz5kza82iP06dPE3tze9BljPTfunVrOt2g8dx2e/fuJXzW3B0edv2zzz6jDz74IHI6yBczGBw/fjxyWhjpj5kMwu6L2x4j/TG43B0edh2zRmDgddh4NnsMmraFhw1DeQ4dOhQ5LejjO0C50NeQ5eXlBI9WcvTo0Wk4sYDC4q16+Ouuu46effZZmjRpkuMx0hqjP8L6adOmOaPPw8Zz22NUfUVFRej83elg9oJx48ZFTgfpjh8/nubMmRM5LcxggNkQ3GUNuz59+nSaOnVq5HQwSwSOe9j8bfZjx46NJR2UB+Wy5REmrLq6OnlAAkZ0Xd1AmnRql9VUw76sXVa7LmaodllNNVzLW7ZscVpGDr7mmmt4MetfgcySJCtAgcySJCug5IDM2oM8BuDuKq4bASa6pe5rSDNrBdJUw76sQNp1MUPbLZBTpkyhXr16UadOnahjx46Ox3JZWZlzHWOK4LcMGPk60u/xhwLpp+LZbQqkrFG7BJKv+XADwe0AKlo6QBan+8/u3Z1pDqOmqVN4yArqFB6yRomawsOvJeNdQYHjdP/8L/9Kfe/vFzlJBVKWUIGUNUoUkFxc80E+ljG7eNwgcl7/1uVa6trjR7ya878CKUunQMoaJRJIvgmD60Aso5AcJu9SOIuu3W+l2x8YSBs3bgwX0WWtQLoEsawqkBZRXEGJBhLPEPl6Mp9Alv2jhtpOnHJJE25VgZT1UiBljRIL5NChQ8l8fphvIGftPEaff/65rJiHhQLpIYwRrEAaYngsJhJI3NzBXVW+yYN/v7dtPPYtUDC6rGgh+/75DecrWIEiWYwUSIsoriAF0iWIZTWRQFrKmbcgBvKekeOp7JFf55yPAilLp0DKGiUGSBQE3VJ4dFU7dOjg/GOdl+XdCW/BQA5Ztpe639vf+QxY+FSIFEhZNQVS1igxQJpFxc0cFIwd7rYiLB/OBPLxhtV07IszOWWjQMqyKZCyRokE0nYDxxYm755sYQKJVnJ+23E5ksVCgbSI4gpSIF2CWFYTCyQ/7kCZsWzecbXsR85BbiDLq+cTBtKGdQqkrJgCKWuUSCBRKL52xIvlWEZYPpwbyN5/eot+NeiZ0FkpkLJkCqSsUSKBlIsdzQIzBmzYsMHx37vuBuo/5I9UPrbK8amK2XTjrbcTZgBYvnx5YI9R3rNnzw5s75X2vHnzaMaMGZHTWbp0qTPzgFc+YcLxCGrx4sWRy1RbW+uMhA+Tt80WPaaGhobI5VmwYEHo42wrD8Iw0t9rW5hw1DuUK0wcmy308Z3CIwxCeO5YVVVFeDnA9GHS8LP99NNPif31N3ejspHv0JA5a875tXT3cyNp/fr1ztwmmN8kiF+5ciWhBQhi62eDG1io/H42QbZhbh5U3CC2kg3mi8FcOJKdtB0nCfQkJDtpO6aDWbFiReR0duzY4cw7JOUXZPvMmTMjlwf5YB4kgBQkTz8b6BMbkOiiYigWj2fkfz/Ict3m7rLixg78igOfhUpSu6yyXNpllTVKZJc1X3dUbXJ4ATl202HavXu3LYo1TIG0ypIRqEBmyGFdUSDPvTrHLSP/9xk1kZ4ZkrKKZgtUIG2qZIYpkJl62NYSCSS6qBgDaV4/YjkfzquFfHTaIur5P/fR/v37A2WrQMoyKZCyRokFkq8bzX95d8JbeAGJlvLHAwc7Nw+CpKpAyiopkLJGiQRSLnZ8Fn5AAsrNR4INyVIg5WOiQMoaJRJI3NRBl9Xt5d0JbyEBWbn100CJKpCyTAqkrFEigcTzM9Nzt1XenfAWEpCPVX5Ar77+hpiwAilK5DynbWtrkw0FCzxfw7dUorojR47E9gZYu5wG0k/gfD0KkYDsP2Y6/fjevn5Fc7YpkKJECqQskXOCwEeAojqcsGJ7McBWmEK9XM6PPcz/W8p+6bzyZSsXhymQrIT3v3ZZvbXhLYnssrqvIb/73e9mfKuDCx/Hv9RCAsxHpiyg3ce/8M1OgfSVx9moQMoaJRJI8/oRyyhkvlwQIAFl/Y6jvkVQIH3lcTYqkLJGiQSSiw0Y8Z3DfLqgQL6wcj/5XbgrkPJRUiBljRIJJAqFa0Z0XeGxnK9WMiiQff9eSXfe+zNPRRVIT2nSGxTItBSeC4kEEhDyFJAoOZZzuamDcXx45Q4trZcLCiS6rT36PujZYiuQXgqfD1cgz2vhtZRYIN0FBqRhHJ5dmt8I8YobBsj7/vYeVVZPtyalQFplyQhUIDPksK4kEsg777wzo4uKQoYF0s9+165dxP7aG79PZX8cRamq5rN+xiJKNSz39DWtG2jr1q1ZHqO8MbDYti1MGAaWYkBwmDg2W8yKgJkHbNvChtXV1TnfPgkbz22Pa3CMbneHh11fsmQJzZ8/P3I6OEFgpoew+dvsMdLfFh42DOXBnE5h47ntoU9szyEBILqoeNwBD7gQFsYhPgY580BnM+7OnTuJ/XkgmyhV1UQpAciXm1fRxx9/nOUhAD5satsWJgxA4kZWmDg2WwbSti1sGIDElCdh47ntAWRra2vkdAAkRta70w+7jooPAMLGs9kDSFt42DAGMmw8tz3PPGDWe3O5g7mS72Vcc5otpLnszjtMlxXXkf3eqqYnBmePk9Quq1vZ7HXtsmZr4g5JZJcVhcS3PAYOHOj4MWPGuMstrpsQ+t0QCgskoLzl7r5ZM5wrkOIh0VfnZImcnmDiXp1DNxPXkfyCAJYRFsYBaMTr1auX74d6cgHytqeeozfffCujOApkhhzWFW0hrbJkBCayhbS1aLawjD3JcSUXIAc1baIP92dOgqVAygdAgZQ1SiSQaNnczuyCurdFWc8FSHRb3954KCNbBTJDDuuKAmmVJSMwkUDiGSK6mjynDgYql5WVpdf9HvRn7F2AlVyB/FX1UqqYUZ/OQYFMS+G5oEB6SpPekFggeVCy7T8JQA5q3kw/uKM3YUJiOAUyXac8FxRIT2nSGxIJZLp0lgXzlTrL5tBBubaQ6LZ27fswvf76606eCqQsvQIpa5QoIPENyBEjRmS8x8q7gCn28Rgk7u9ERgHygfFzqHH5OgWSD5Lwr0AKAhEl67EHWj90Ua+++mrnDR2e5Kpz587Omzt4lBG3iwIkWsn3Pj7iFElbSPnIKJCyRolqIc3iokXk55Bxd1PNfKICCSg/2r5DryFNUT2WFUgPYYzgxAJplDGvi1GBfGLWWurR+x4FMsBRUiBlkRRIj297oOUL6m+4qw+9/PLLtG3bNllxwWLfvn20evVqwUrefPLkSWdEhGwpW+Cl+RMnTsiGgoUCKQiUtGtIubjxW0RtIQHtf//x7/Tnka8okMLhUSAFgZIKJG7ssMNdVXzWPB83dJBHHEAOXtpGExetUSD5oHn8K5AewhjBieyy8mtyuKnDr9El6V1WW1f2D43LFUijYtkWFUibKplhiQYSrSMKCMeQZhY/t7WjR48Se9snzYfM20Jh/VPj6uiXTzxNGDoTxWOgKWYeiJIG4vInzaOmg/gYWIxPAERNiz9pHjUdfG4eA7mjpsOfNI+aDuI3NDRELg/S4YHFUcsU6yfNMdQKzyC5dYwbSIymxwh4+O9ddz31H/IHKh87xfGpikZKTW0J7cvHTaMuP7jFubmDUfG5+rlz5zpTb+Qan+NhVH1FRUXO5eB08I/JwnCSMMNyWa6trXVmgM8lrhkHPScAYIblsoxpVzDSP5e47jiTJk2KJR2UB7NPuNMPuw59YpvCAwByy4hlPIc013NrF+2x4riGRBc2NbOVbv/1YBr2/Av2jAKG6l1WWSj92I6sUazf9nC/HoeXBDC3Tj5cnEA+VdlCDVsPRiqmAinLp0DKGsUKJO6oMpToLuFVujhHeJi7EyeQqVkr6a9rDpjJh15WIGXJFEhZo1iBRHaAEndWcTMn6a/OcZcVQGJ50szcP3+gQMqVTYGUNYoMJKDD9Iemx6BkeA6TixHeIu4WEkB2u+seWrZsWfjCEJECKcumQMoaRQYS14m2wchmmFyM8Bb5ALLnoN/TM7/9bfjCKJCBNFMgZZkiAylnkR+LfAA5sG4FvfD2xJwKrC2kLJsCKWsUK5DmlI94FtmxY8dEvzrnvobE+j82ZE6CJUt41kKBlJVSIGWNYgWS38rBnVW+28phclHCWeSjhQSQ8HtOnApXGO2yBtJLgZRlihVIfm8VrSOuLeFKDcjfLfiEbu9T5vu2hE1WbSFtqmSGKZCZetjWYgWSX53j1hEZlhqQaCFvGzCYXngh3Js7CqStemWGKZCZetjWYgUSGZjPHkvl1Tl+Dsld1n5vVtPjqedsenmGKZCe0qQ3KJBpKTwXYgUS14787NH898w9woZ8XkMCzIlbzk6CFbSICqSslAIpaxQrkOazR3Rf8eqcOfJDLk5wi3wDCSiPfnE6cIEUSFkqBVLWKFYgbdmV4jUkYHzmg230+zfH0ZkzZ2y7lRWmQGZJkhWgQGZJkhWQWCABsjkliLvkhWghb3v4ycDPURVI9xHKXlcgszVxh8QKpPsaErOZ86MQd8Z+68OHD0+/judlVwggew37Gz361NNeRcgIVyAz5LCuKJBWWTICYwXSvIbkZfOua0bOHisY0IzrT8DtbiExYwCPwP73LtdS/98MofLX33F86t0aSk2sD+3LR0+i8jHvecYbOuoNZ7R8S0uL7399fb0z0l+yk7bjZti7777rm5eUBm8fP368oyOv5/pfWVlJdXV1kcs0ffp0mjp1auR0GhsbCSP9c90fM97YsWNjSQflmTVrVuS0qqurfZ+Bd/DgJm/BeIYJiG1A4nqO/c2Yl/XNaTRkyZ7zfmkbDQnpU/UfUqphhWe837fupdOnT4sec+GsWrVKtJPSwjyqmJ9FsguyfeHChXTs2LHIaa1Zs4b27NkTOZ3t27cTTqpByu5nc+jQIWdUjp9N0G1NTU2Ry4O8MEoI5Qqar5cd9EFPwsuFAhJv5+DDOvxtD/73Stwdjq4qvgeCeJhpAMteU4AUosvKzyVbPtrtLmrWunZZsyTJCtAua5YkWQGxdllxvYgBymjdTJ+Va4AAWwtpRiskkLf2e9iZwMrM372sQLoVyV5XILM1cYfECmScjzjQ2gJKL1dQIJ8cRr8rf9arKE64Aukrj7NRgZQ1ihVIvv6Ts41uUUggn2xcR2WDBvt+J0OBlI+pAilrFBlIXOPxtSL+8fkAcx3L+XCFBBLXkiNW+0+CpUDKR1mBlDWKDCTfETWvGd3LcjHCWxQaSEC58cjnngVVID2lSW9QINNSeC5EBtIz5TxvKAaQv3j2RcJ0+DanQNpUyQxTIDP1sK0pkDNbyT38ih93uP9vfuBJ+tOLf7HpqLPOWVXJDFQgM/WwrSmQIYB8cML79KO777PpqEBaVckMVCAz9bCtKZAhgHRu7iw6OzWJW0ztsroVyV5XILM1cYfECiTetMEYSDyPNL070zjWi3ENyV3Ynce/yNoFBTJLkqwABTJLkqyAWIEEjIVyxQRyVN28rPcNFUj5yCuQskaxApmv2QFsu1FMIG95eBCNHDkyo1gKZIYc1hUF0ipLRmCsQKLLCu/1QnhGzhFXignkPS+/S73u7ZuxBwpkhhzWFQXSKktGYKxAmteN5nJGjjGtFBNIXEsOGPU2ffbZZ+m9USDTUnguKJCe0qQ3xApkOtUCLBQbSEB5+PPzk2ApkPJBVyBljWIFEq1iPh0Gb7L/3vU3UP/Un6l8XI3jU1OaKFU9P7Qvf3c6lU+oDR0Peb03bxktX77cGZiM78tjVD0GKUfxmBEBH7uNkgbHxeh8DJzl9Vz/MRsCBk3nGp/jNTc3E0b783qu/4sXL6aamprI6SD/yZMnx5IOyrNo0aLIaUEfnLi8XKgBygCSPyHglWCU8MOHDxP767/flcqGv01DMNofvnEVDWnZFNqnps2jVM380PGQ10+ffs65Zt6/fz/hzIYR+liO4nfv3u1U2ihpcFxMB7Jz585I5UFaAGDjxo2R08HMAzjhcPly/d+2bRvNnTs3cjrIHyebXMthxkN5tm7dGjkt6BMbkJgLh0f8myM+okDoFTcJXdbez79BP7nvfqeI2mX1OlLnw7XLel4Lr6VYu6zuUR687pV5lPAkAInryN6/fMJ5bU6BlI+mAilrFCuQnB2GZIWdbY7jBv1PCpDPte6jU2f0k+ZBjpsCKasUK5B4/oguKz/ywJs7+XommRQg0Uou23dCXy6X65pzbYQKF9UdOXIktnqFG01xONRz3N+I6mIFEm/qmABiOV93XpME5DPjaghzjq5evTrq8aCTJ08S7tjG4XDXD9NKRnVr166ltra2qMkokAEUjBVIG3y2sADlEk2SBOSPBr9EZQ88pEAKR027rIJARM7deujk5SI99sAjkFw+JeBVGDM8SUAOat5MN99+Rywtm7aQ5lG2L2uX1a5LVii6qLhu5EceF8o1JK4jfzOhQVvIrBqRGaAtZKYetrVYu6ycAVpG81qSw+P8T1ILCSCHNG+khiXLI++itpCyhNpCyho5FngxwO0wV2s+XBKBfG3mfNqxY0ek3VUgZfkUSFkjx8J2A8cWFjA5X7MkAnnrLwZQ+bPDfMstbVQgJYWIFEhZI8cCN3DMFwKwfCEB+ejfJ9LtrnGSAaVLmymQaSk8FxRIT2kyN+BDO7iRM3ToUMfjJQGE5cMlsYVM1Syge1MvOG/957rPCqSsnAIpa5S2wA0dDB8CiPkc+ZFUIHGD55Nj2ZNgpQUSFhRIQSDSLqusUIwWgBgtLD6HbnZ/3VkkGcjp2486H5Z1lznIugIpq6QtpKxRbBb4jDmgRAvrd4c2yUD+5NlRhM+J5+IUSFk1BVLWKC8W7htC+Kw2++tu+j6VPf8qpaZ9cNbXLaVU46rwvmIOObMN5BLXjFMzn1IT65z8y0a8Tb3u/RnhE95hPU5GmHkgbDyb/cyZM51XsWzbwoRh8O3KlSsjlwmzF2AQd5i8bbb4vsrs2bMjp4O0MdLflkfYMJQH5Qobz20PfWJ7dS5OKjF7Ha5FTYeCsr/2xpuobNjLlKqYfdbXLKBU/YehffnkBip/rzF0vKy8qloI04Fw+A2396KJEyc6QODti6AeBxWVJKi9n92MGTMIL4b72QTZhpkHAFMQWz8bVDbA7WcTZBum3uCTTRB7P5uqqqrI5UH6KA9OWn55BdkGfRIHpNRdBaRJ7rLixs6A2uV04OQp83wSaFm7rLJM2mWVNYrNIgiMyCzpQALK93cdC62LAilLpkDKGsVigfdfO3TokH453e/ry6UA5ODpi2jBggWhtFEgZbkUSFmjgluUApA/e62C7n/okVDaKJCyXAqkrFHBLUoBSHRbf/iT+0KNk1Qg5aqkQMoaFdyiVIC8+y9jaMee4NNfKJByVVIgZY0KblEqQKKVXLw3+Lw2CqRclRRIWaOCW5QSkG9tOOQ8nwoikgIpq6RAyhoV3KKUgOz3Vg09+NivA2mkQMoyKZCyRgW3KCUgn27ZQrf89D5at26dqJMCKUqkA5RliQpvUUpA4jryvwY957w2JimlQEoK6fArWaEiWJQakIByzcGTolIKpCiRtpCyRIW3KEUgJ3x0RBRKgRQlUiBliQpvUYpAPjSpmV4aOcpXLAXSVx5no97UkTUquEUpAvlY9RLq8dN76YsvvKf4UCDlqqRAyhoV3KIUgcR15G0PP0XTpk3z1EuB9JQmvUGBTEtR3IXjx48T+xu7/oDKRo2nIc0bzvv5W2lISJ+avpBStYtDx8vKZ9ZKZ+aBrHBXeR6vWUxr9xygo0ePWv2BAweoqanJus0rjld4S0uL85k8r+1BwzEK5+OPP45cJnwWHV8IC5qvlx0++45RNF7bw4TPmjUrlnRQnl27dkVOC/okboCyF/abNm1yRsBjFPx/XHs99f/dMCofU+H41ORZZ6fimNIU6r987FQqf2daqDjOlB/ufCbUUvmY9wKl849ZH9DSpUutHp+Qmzx5snWbVxyv8IqKCqfiem0PGo5P7WHWgKD2XnaNjY1UX18fOZ158+YRRvp75RMmfMKECbGkg/KgXGHyttlCn5IB0gS1VLus6LYOW76PFi5abO5Oelm7rGkpPBe0y+opTfE2lDKQD46fQ3fd/3OreAqkVZaMQAUyQ45krJQykGgle/z8Uafb5VZTgXQrkr2uQGZrUvSQUgfyvlffo4oZdVk6KpBZkmQFKJBZkhQ/oNSBRCvZuDN7EiwFUq5bCqSsUcEt2gOQw1cfyNJNgcySJCtAgcySpPgB7QHIhyY10WPPDM4QU4HMkMO6okBaZSluYHsAEt3WW/r0d55fsZoKJCvh/a9AemtTtC3tBsjH/4/eHP12WkcFMi2F54IC6SlN8Ta0FyAHNW2iBW3nJ8FSIOU6pUDKGhXcor0AiW7r6+sPpvVTINNSeC4okJ7SFG9DewLy8Zmr6J0pNY6YCqRcpxRIWaOCW7QnIP938W764V33OFNFKpByVVIgZY0KbtGegES39YY+D9Krr75KCqRclRRIWaOCW8QGZOX7lJo6lwBFJD+z1flga65pPDSxiSrnLaVjx45RZWVlLHpOnTqVDh8+HDktjM/E0LeoDh80xUdbozp8Rbu2tjZqMk58DHWLw6E8GA8Z1UEf6OTlOnhtKHZ4ewMSII/bfFiBDFCx4gQSX7mOw4UF8pFHHnE+Xe/OW4FMSAvJLeuKDR9pC+mupa719gBkly5d6KKLLqJLL72UHnjgAWpoaKAzZ844PYjEtpCYzuDb3/621V/SqRNdculldOk/XRXJf+Oyywk+ajrfvPwK+kbE8nzziivpoosvocsuu8y6z15aeIUjnauuuipyWpdffjldccUVkdP51re+RUjLq7xBw6+88spYNQqar58d9gvl8rNxb/vqV7/qfKAYHykGnL179042kKdOnaJDhw5Zfffu3Z0m32t70HBM74+5XoLae9lt27aNWltbI6ezb98+53uSXvmECcc8L3v37o1cphUrVjhz6oTJ22bLU7DYtoUJw7XakiVLIu8X8mxubo4lHZRn586dgdO68847CUB+7Wtfo5tuuolee+01B0ZM39HW5v35wqJeQx48eJDYY04XTLbErmfPnoRJnKK6HTt2ECZNiupwcDdv3hw1GWeKSL8uS5gMVq1a5dy1DRPHZrtlyxbC5FtRHSqa33wxQdPHja/169cHNfe1W7Zsme/2oBtRHkyuFdTdcccd9OKLL2bpkVggp0yZQqNHjyb+x3LHjh1pzpw5zj4rkPKhVyBljYoFpFfJEgkkIBw+fLgDI/7ZlZeXU79+/ZzVuNOxRCoAAAX6SURBVIA8ffo0wUd1SUsH+5O0MiWtPKxR1GPP6RSiHhWly3rNNdc4GgFA06F17Nq1qxMUF5Bm+rqsCiRdgYIDia6pG0QWCS0nb0sakLjWxbWWOn8FkqZTqR2zggMJ4Bg696FFd5Vv7KRSqcQAgPIOGDDA8dyldpe9GOvQ6uqrry5G1ll5AkTcWYRWOOkW2wFE9LZQHvyXCphFARKV2+0gmBeobttirnOXuphl4LxxckjKCQLlSFKl53sU0Ao9L/hScAUHEteJuJvKLSFEwoE0b+4kVThuBZJQPpzUoGFSThAoB47h0KFD03fKi6kTH6sRI0Y4Jy2sl4IrOJAQBV0a3Njp1auX0w1MQhcnyMFCK2CeSILEyYcNTmrcm0gKkDjJ4sTKIBQbAOSP44WTBLrSSWq9/epEUYD0K1BSt3GLlITyAcJu3bo5vlOnTs5/scuFSs8OJwt+nsxhhf5HGRhC8wRW6HKEzU+BDKAYzrTo+uBtIvhin/3NIielhQQAY8aMcUBMQpm4+wwo0Y0ulV6YAmnWbo9lVDbT85nXw7ygwUmqaCgLdErKCYvLkySNpMqhQEoK6XZVoIAKKJAFFFuzUgUkBRRISSHdrgoUUAEFsoBia1aqgKSAAikppNtVgQIqoEAWUGzNShWQFFAgJYV0uypQQAUUyBjF9nubB6/chX3tzi89d7G9HsbjmSC/WF1TU0OTJk1yoiIszPPCsGV3ly+Oda99RNp4Nhxmf+IoTz7SUCBjVBUVxuuVMTycZjCCZumXnjsNzGxmc6ioeFgP98orr9Dzzz/vLCMs6AsO2Cfz1ThbPoUI89pH5I0Thh+whShfHHnYj2IcKV8gaaAi4HU6VG4TIITjjM2v2mG7CQCWOZ4plRlupmfaYBmQID63XKisnB/C2SGMbUwguXywM+Nh2e1QDk6D/zl/tz22u/fLtu+sBf97pWeGm0ByPua+4qQB+1J2CmSEo4cWD6NW0NrgfdfOnTunKwTCUUG4JcI/PBzioZJjHXZcidzp4cVx3mYWE3nBIz4PW0Nl5TDki2U4xEdecCaQDDuA4LKY6TkRzsFqDoKGLdujS43ys0N83meEc48A4fDszHUsm+khL4Yc6XN62B8GEulyuNmtRy8E66XsFMgIRw+Vjs/wSAaViQFC5TG3mZXQrHQ406NCwuHfjGOmx8U07TkM/+78uPJKQCI9VG6GwEwTy4iP7exQRvPdUICCdcRHedlhHUOy4Mx9d69jm5ke0kee7vSgC+8T4vCJiPPDv7mvZngpLSuQEY4WVxBOgisT1t3bzEqJigpb9nxW5wpsS4/DUHmRltu58+N1s5LaWkikg8qNk8vAgQOzwER8Mz9zHxGX98vMh8vGrSfbcLi5jmXEZcfp29LjfQKsOBEgfYwwMR3il7JTICMcPbNFQDJcmbDMlYeTNyuhexvboIKhsrEz0+MwVFQGmMPw706T182K7QUkpwMwzdYQ4YhvhqFM3BXFdpQF8WwtN59gsB37z87UwgtId3rQhfeJ02EwkT6cOw7bldK/AhnhaKEycauClgsVBhUYzl15zEqISox46IahEsHDwaasrMyBEpXeTM8xOHdNB3CrqqocO47rzo/XJSC5DEjfDR/CsJ1bOqwDSKwjHPZm9xvb0GIBFIxB5OtYBgXhWEZ87Csc/lkzTp/XkTbvJ/TifUIayB+OTwhYhmacp7OxBH8UyIgHjVsVAIkKwRWFKxwnj0rGFQ1hHA8VyBaO7Qjn9Dgd/CMMFREA8PWXOz9ehy3b4I5kfX29kxTCsM1MC2kCGrdjABGOPFE2lBueTwjYhrhIAy0qbEyH/BCO7YjD++zeRy6XmR5rxGkiDsLc+SDMbL3N/EtlWYEslSNVxHKaLQ+AZJiKWKSsrHFiMVvyLIMSCVAgS+RAFbuYDGGSgQSUpe4UyFI/ggUuP7qbtm5tgYvRbrNTINvtodUdK0UFFMhSPGpa5nargALZbg+t7lgpKqBAluJR0zK3WwUUyHZ7aHXHSlEBBbIUj5qWud0qoEC220OrO1aKCvw/4LSmftkwnoEAAAAASUVORK5CYII=[/img][br][br]Write an inequality that represents this situation.
Can Elena purchase 2 pounds of dried chili peppers and 4 pounds of corn husks and spend less than $50? Explain your reasoning.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Which inequality is represented by the graph?
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAADiCAYAAADOHRJfAAAgAElEQVR4Ae2dCXAVx5mA2d2qdZJ1giubhMQbS3EcW7ExljEO4jBIHAYkYbBkI4MNAh8gG9bgA3zEfm+IzxgMDuYUQqD7RPeBJIQAoYNT5jQGG2MIOCSy17XxUcmmUv/WP3IPrVHPm555/STx9L+qrumZ6fmnp9//zd/z9/Q//YB+1ALUAj3SAv165Kx0UmoBagEg+EgJqAV6qAUIvh5qeDottQDBRzpALdBDLWAJ39///neg1Lva4Ouvvwa7RP9Z7/rP2P8h4lsI32effQZZW0sgv3q7spRdVgUpWXnK5GHd8iprlctEuVjP3MpapXVFmdmlVX7JxDbckJZppJdeec3I4/aNGdl+yWfXvqWgyG85vO5sziuE1JwCpTLTCkuU//eZxeWQlZcPDQ0NylJdXR00NTWJ2BM7XBC+1Lom8LS1q0ut58BbUKtOHtbt4CXQssvVymxrBy27AjwH/qRUrregDjwtn0jLnLJ0NTxZ2WaUxzxu4/+T0CEjumzj97vJeyv3grf+WKfzuJHDH+OtfQ+82w6qldlwArzlzUpl3vv4U1BdXS0Exe3Gb775BhobG4WHW1o+gq9n4UOwElakG8plBi1xYyn069cPrrn2OqMMr/Bu830VvmGz5sO4STGwf/9+IShuNxJ8Di14b7B8o5OWACaECEHr/7POkCGM37vmhzqAZovoFjw8rq/CN+iusVBYWEjwSStPEHc7Jyx+DYY+OE+HD0FDAFm7YD78nunw89vuhLH//RLgfrbP32VfhC8pfzfMTpoPn3/+OcEnrUBBDB8CxqAzw8WeBUMGD4O419fDkt0fdXo+lG4/QY+gL8KXc+Z/9V4lwSdQCEtlCmL4ECiEjgEoagMGn2if2219Eb5Pvvw/gs+xwgQxfNgWV139AwiLirbsUhJ8/ns770l6Cs6cOUPwEXyXh3bQ8qEnk3UxRW1D8PkHX+zLK2By/DTDkUndTup26pYOPZ3M4SICD7cRfP7Bhx7O5cuXE3xWCuZzexB2OxG40DtHwoCbBuqOFF/XT/C5h29B6T6Yt+gZAzzMkOXr45YPu5n8sALBd7krzreF1883XJiHk6eP4Ovj8PEKZpcny+fe8jEPJ8HnBDi+bBB2O+2A4/cTfO7gmzTncThx4gTPnZ4ny8fDZZcn+PRBdh5If/PBPs53//LNnTycPIEEnx1w/H6Cj+Dj9UEiP3jsJMjIyOCZM/IEn0QDGnd3go/gc6Avi7YdgSef/60BmzlD8DlozGCez2fcYHy0Bz3zOXvmE3k4eQAJPh/K1kUhg8jy4RBDZNJzevL1VgvfBgSfM/hEHk6CzwlwfNkggQ9hw0F1nDyLyTx3jweOzxN88vBNX7IULl26xLPWJU+Wj4fLLh8k8LH5eQwsnMkwN3en5QvVrBzBJwefLw8nT2CvgW9Vei5oWWXqUnoRaKs3qpOHdcsshaWr1quVmVXWITOzRK3c1SmgpW21lDkg5HqIip+hp/BRY8Xl8Pg1m4wUcsONED97rrGurd8iPs7J/7ghHbRNOf7L4c+5MQu05Ey1MlNzQVufJiXz+rCb4a233gIMZuQrlZeX655QX2Wc7sOYMFVVVTzjRt4yhsum2j3gOfRndanlLHjza9TJw7od+FRvfKX1PPRn0LLKwbP/otK6evNrwdP8saXM0fMWQ1jUJL37OWXpKnG5g5f0oFHoaMIUMjgC4l5d12mbv23hrWgF7/aj4vO71AdvTRt4qw+olbnjOHjLmmxlPlv/PryyYhX885//tE3t7e2wb98+23IysliZr776Cnbv3m0Ax2cs4aMASt0XQAljsPAzGHAOn8z7ndTttO922nk4eRh6TbeT4Os++HD6EB8EybzOnvHMS4LPHj47DyfBZ+dYsdofJA4XnDiL3s6IB5P0hA4X3GaGzbxO8PmGb+Lsxx0FRCLLZwWaaHuQwMegQg+njJeTlSf4rOG7f9lmiBw/kTdstnmCTwSZ1bYgg49BJbsk+Kzhw1nq9fX1tsDxBQg+K9BE2wk+erdToBfPN30CKzak8lxJ5Qk+QWNaWgKCj+AT6IsTDydPJcEnaEyCTxxKgbqd4m6nEw8nwecEOL4sWT6yfLw+tLXDsNg4x896DECyfKbGtLR6WI7gI/g4fYl+8S0YFx3LWHK8JPi4xvQJHsFHcTtN3+e7bZRzDydPKMFH8NkOrrObEj3zXX7me+nAJXh15bs8S47zBB/BR/BJ6IA5bqdbDydPKMEn0fDszk/PfB2fCDPaw0nbWZS9UqOXufVwEnwWimCrVORwIYdLWzvcMS7atYeT4CP4pLua/A2JnvmaYXjifMs4nDxYMnnqdjoBMcgsH8ZySViZAVN+t1oKRoKvGfAdzoKCAhm2bMsQfH0UPpzPh1OJcMnP7eMtnTlP8DXDsnUbbaGSLUDw9UH42Hw+M1x2630dvuT6fbJcSZXrNfBhACWMuaIsZVeAtm6zOnlYt7xqPSiTsjp+e73a6hTw5lYrrat+7dnlQpmJ2jKIiLkXcIkTQBeuSReW82aXdwQiwmBEyZkQ8qswiH/0icvbNmaJj3PwP2opOaBtKfRbDv+faJvzQUvNUyszrQjScvNhz549ylJtbS3k5uYqk4d1a2hocB5AKaVqJ3j2nleXdp8Cb26lOnlYt5ZPQMsoVitz73nQMkrA03xWqVxvbhV4dn0glDnFswL6//S/IOGtFD0NuPEWeLKkpWvZPR+Bh0sht90Jcd6Vnbb5+595SxvBu+1g13P7oQveyn3grRBcjx8yBw4dAWvXroWvv/5aWbpw4QI0NTUpk4d1Q2u6Y8cOoeWlAEqCbq6WXQGeA90XwwWf8TBuC+tmYn7C4teMdbbdvOyr3c74NzfC3TGT4ejRo0Kldrux13Q7KYBS98GHoSPC75luwIaRzGScLn0VvluGjQaPx0Pwme/Gluut58BbUGsomGU5gSWyLBtEQw0IHwZQwu81UAAl8fxFpgfvbs6EixcvEnysQWyXBJ/+jOqrndACysTrZDL6ouVj73ASfE6sFMFnCx+DSnbZF+Fj73ASfASfdDfaW1BH8DnRF0HZkVMToLm5WfenEHyCBrK8a5PlI/ic6IuprPlLQwSfqYEswcNyBB/B50RfTGWHjI+B0tJSYxSB4DM1EMFn7aWjbudB6S66SI+ScwoN8DBD8BF80gpF8LmHj3k4efoIPoKP4JPQAW/tex2vrEmUFVk95uEk+Fw2ID3zkbdTBJbdtrtnPgbHjx/nudPzZPmcgEgOF3K4ONGXtnYwezh5Agk+J41J8BF8TvSlrR1ujhhpGZuF4HPSmAQfwedEX9raoXRnE2/sOuUJPieNSfARfA70ReTh5Okj+Bw0Jjlc5BwuGFJC9uu0wfpu52/3XQSRh5PgcwIcX5Ysn5TlC4uK1qcU2XkBcX+wwifzVVmyfDxcdnmCzxY+nL3e1+FDD+fIqLG8kRPmgxq+VRl54C3eqS4V1IKWnK5OHtataAdo61LVyize2RHoaWu9UrlackZHACGLNp23IgXCx0yExFfegdCB4eJz59eCtqXASCE33Qzx8xYa67jP3/9Ml59Z5rccvh5aejFoaUVSMm++4zewbt06OHDggM+0fft2/V1Pu3JO9u/atQsKCwt9nteJPCyLszCqqqqENxDLGC7J5XWdA/NwgXv4ID7S+R3HwJtVplbm7lOgpRWqlbnnI9DStnYEO/L3mrnjvVnl4Kk/alnX0NuHwpJtbZD4bjZgXtiu9cfAs/2IkUIG3QFxL75prOv7uHMKZdjs9xY1gLeiVXx+m2OtzuctawJvyW4pman5xXrQIYyn4iudPHkSWlpafJbxdbxo35kzZ2Dnzp1KZaKFxqhoop8lfBTDpftiuGDApIQV6fqrajiTHcNI9MVnPjsPJ6/AQd3tJPi6Dz4MmITAYRpw00C46uofAG6zAzCYHC7PNZ6x9XASfHaOFav95HCxdbggbH3V8sl4OAk+K7jsthN8UvDhx1JkwgYG01DDuIUeiBw/gWfLNk/dTjvg+P0EnxR8dl1Nfn9Ht3ODbfeUP8Yu3xMfx3TzLXWCj4fLLk/wEXwWOlLSsMfW0pkLEHwWjSm8uxJ8BJ9AX5x4OHkACT5BYwrBw3IEH8Fn0pdntr/vyMNJ8Jka0BI2czmCj+Az6YSbZz0GIFk+U2P6BJHgI/g4fRmeuAAmx9/PWHK8JPi4xvQJHpYj+Ag+Tl9wXG/Tpk2OoWMHEHxcYxJ81jE7sW0CFzrwyhxqqG4+wDhytST4CD7pMTaC73LcTrceTp5Sgo/gI/gkdICP2/l03QnXHk6CT6KxhV1QeuajZ762dhh01xioq6vjOXKVJ8vnBESCr8/D5ysOp1MCCT6Cj7qdEjrAup3hUXfDO++845QzYXmCT6LhjS4oWT5Ly4czGXAuH8Zvwfl8OLnWaDcfbXylvVi9o+2YECQ3Gwk+H4rRRXkIPkv4MFwgJtZm/X92nZFn20TLKwm+lMbDbhizPCao4VudsxW8FS3qEgYmSslWJw/rVt4E2oZ0tTIrWjpklu1RKldLyekIICTRpgOu/5X43NiG2eVGCgm7BeIXPGus4z5//zMtowS03Gq/5fD1WLB8PWytqoFjx44pS42NjXpgIpUyW1tb9aBMKmUeOnTIeQCl9cXV4G04oS7VHAJvepE6eVi3+qOgpeapldlwokPm9iNq5aYX65/JsmvTiQueh4j7ZonPjW1Y2WqkkIHhELf4d8a6vs/f/yy/FrwljeLzu5R92/BRkJycDBcuXFCWDh8+DLt371YmD+v2/vvvA0ZFU1lPDMrkOHoZxXDpvhgurEuJM9jD75ku1eXEY66Ebid6OMdNioHTp09bdiHd7AjqbifB173wMfD4Zz8GpdXySoBvaPRUyMzMJPgEdxgKHShwGmnZFeA50H3wYdjAn4bdCokpZUZCD6gVdGz7lQBf84kPAbteZPm60kfw9QL4MGIZDi/wCbcxyKyWvR0+9g4nwdfYlTwAIPh6AXxWcNlt783w4ZeW2JeGCD6Cz9aSMGXv7m4nO6/TZW+GD+fr4bcP8EfwEXwEn8DKm4FXEToQPZyx3Cx1go/gI/i6Cb5BI8d0+pY6wUfwEXzdBN+hsxc7ORgIPoKP4OsG+JiHk6eP4CP4CL4Aw/dw+jbDw0nwdbTAN998A/gequhHQw0ChSRv5zHpGxXvsLGKw0mWj+CTViiCzzl86OGMmjBJdIOnoQayfL5D+/F3cILPOXwYm6W+vp7gM7UAdTsFXUseNnOe4HMO37GLn5nU7vIqdTsddDvb29shtXaPdDfNrLzC9ZZPwJtfo1bmgT+BllWmVmZbO2hZ5eDZ/6lSud78WvA0n1UqMyBvuFS0gnf7UUf1FHk4L6MH8NFHH8GpU6f4TX7ncc7dkSNH/JbDC0C937dvH7/J7/xXX32lzzsUCRI6XM6ePQtrcosd/QFC4HiL03gatI1ZamXu/xS0talqZSJ86zaDZ98FpXJxFr9n1wdKZQYCPi2nCrxlTdL1nLWxROjh5JUNFbq5uZnf5Hf+xIkT+sRXvwVxAs6dOwdlZWXcFv+zX3zxBeTl5QkFEXz8DeLbPMEnD5/Mt9T7Enw7d+4EBI79CD4BYL4sNcEnB9+ox56Bu8aMZXpmuexL8CFsoaGhsHTpUh1CV/BFTYqFoTPmqkv3JULE2Anq5GHdHngUIqLGqZU5Yy5ERI2HoQmPKJUbMW4iDL1vliOZ4fc8oIcSxHCCovTv3/0e3DB8jCOZdv9pxMQpMHTy/VIy//Pa6yAuLg4WLlzoMyUkJMC0adN8lrGTYd4/c+ZMuPfee5XKfPjhh2Hy5Ml+y4yPj4d+/frBNddcAy+88AKkpqYKb0yW3c5xk6fC8Fnz1aXpj8KICTHq5GHdZj4OI8ZPVCtz1nwYMX4SDH8oSancERNiYfgDjziSeUfcTLj2ltst07/867/pM+BV/k8jYuNh+L0zpOr56IKFsHjxYtv00EMPwYwZM2zLychiZRAUBJqtq1jOmzdPB9pfWQ888IAOH1rAtWvX0jOfr26med+V0u286urvw50Jj0g7R8zXKVqXdbjYeTj5W31f63aGh4fDli1b9CZw1e0kb2fPezsxtgsGVMJ4LpFJz+kJZ4gzaHoKvhmr82w9nH0Vvvfee4+/dP25j7ydDpwuvcHyDX1wHmAclwmLXwOMbIbQYVjB73y/vxHduqfgs3qHs5PWcSt9yfJxl61nHVu+zz77DCh0YPdFL2OWjC0RMoQNLR//3Qa0gldd/QMdSiwbCPjsZrJHPv48TI6fZtYxn+t96Q2X2bNnA46T4w/BQwdOdXW1sH2EDheCr3tDBzLocInAodXDPEJojuOJH1RBa9hT8OG43sqVK4XKZLWxL8GnaRosWrRIbwp89sNI3TSlyEm3s5vjdvLw4ZCCr5idCB8LK9gTlo9FJLMCTbS9L8GH1g69nHPmzNE/h9ZrXqxOWKJB6J0j9YR3eF7pXOUPXtI/EoKywsbE6HJdyTGByV6sxq4f1leFzERtOYSNnqDLQ+eJlUwcH7Lah9ux28msoUr4UObExa/DLwbdAb8eOVbv9prr4cTDyUOI8K1bt86wCPw+t3kcOxs7dixERUW5FdHpOHSUxMTEwJAhQ/QB8k47Ha5MnToVIiMj9aN6BXxPFjdD/x//RFcc/KPt7vDmP164fvASRMbPMLppwjImsGTKMPjQymA9ZY6xKzN1/mJYUtfxwjJ+hw+dKOZj0KL5go/vkuKx190eAfe+tr6LHLNcmXW80eD58ZlvXnIhmD9TtrDqPUceTl5f8YMm48ePNxSS3+cmj127xx57DI4ePermcOExaK0QwP379wPCw4YKhIV9bMTjsLuJ8vDXa+AbEPpLQ1FQsX11r2QUxnPwEgwIud6QKXWMBIwI3+i5z+rPX2YldHsOb0Gd8X0+FplaJAvhE/UK8IaF0DKrh8cG4sVq5nAxX/ctw+6CwsJCH2pnvQvBw3cemTWwLim3B5Vb9YdSEJaPP/5Yhw+f2dzAh/Bi3bDriY4XlNEr4PO0noOp8581vsAquvOLlNHXtrk59Tp86KBA50TEg0lKQJz98hswdPpcXZYvS+SrbuZ9PHy+bjx4HfjdBv7GhHmR8yVQ8CWu2Kyfj12DP99SRyu1bNky/VsNKuBDBUc5aPmmTJkCTz31lByxNqXw5nDrrbfq3knmMLE5pNNuBA5fJ8P64Q+XCHSPwRf3xgaY8rvV8Eh6DSB8Yb8ZrrvOERZUQP4uzv5ou+WUpe8CS4nJxdD/Rx1dWTwOLQrzBNrJ4fczebjEOoXefCssaTjlF3y8TDwXgw8h8nXjwfNjGYQenzexrazKBwK+ee9mQOhtd3b6b6LnPAGbN2/upGwyK6iA2IVjDhcV8CEkqNQnT57Uu50It4rvvCNwSUlJ8PTTT+vWi0Ekc52+yvQYfPdoqyD2pbdhdmoFTHn5bYiIiTMsk1tQUB5LaPnCR401ZOIzCz8uxgPmK8/k4RLhvebHP9FvDqj8DAJfx4v28TJxP8IXHnOfJUgiGXbbVMOHFrb/T36qP/Px53bj4USFRPBuv/12iIiI0BNaBjdWhVduhA+7dKzbiesIoD8/dpP4/PPP9W5nSUmJfg5/ZLJjeww+/g9MeGtjJ/h83dH543zmv33mYxbULdDmczCHC25X1e0Mj7wbprz0tnGjMJ/TzbpK+JjFXZhaAt76y2Ek3Ho4mfLhUqXlQ3n4XMVbPjfPZ3z9cFAcZfLw+XuTYPJ7BXzY7UTLh04DTAifG4XrdMzBS5D0xh/UysSZ7Nw4H3aPO51TwmFjLq8PWdxyG4QOjuiwqENGKLl+lfBh1xavNfTWwXq3E/OxL6907eFkyodLBp8qhUZLNXHiRBgzZozflpTVEwGOjo7WnyfRsuIznIpfr4HPW1DrtyJ3Uuxvx/k6bXMBh/l4Hj7zPrfr7JnP7fGi41TCx+QzbyeuDxkXbRl/xIliMvicHGNXlnU77co52c8sn5Nj7MoSfA6BJPiOQYeH83473ZLaT/A5iF5G73b23LudzALJLANp+UbHP2gZh1OKOK4QwUfwSXd5u9vyobMDxyjxWRiftUSD7CIYAwmfWw8nx5yRJfgIvl4NH3tZGkGUfaUtUPCl7j1pgKMiQ/A5hG99URV4dxxTl7YdAG/6VnXysG7bj4CWmqtW5o5joKXmgbfusFq56UXgrd4vJXPADWHictiG5U1GCrklHOKe1Yx1fZ+f/9m0p1+G2uZ98Mc//lFZ2rt3L7S0tCiTh3Vra2vTPzutsp4YC7S2tlZpPTFgcFVVlfAeZjmfb3VuEXgrW9Wlkt2gbcpRJw/rVtEMWnK6WpmVraAlZ4C3vFmpXG1TLnhLdtnKTHxzLYSPixGXK9kFWk6lkUJ+PRDiFyw21nGfv//ZjQMH6fP1UBFVpYaGBv35UZU8lLNnzx7Ytm2bsjqiTJxxj0FzVdYTh0Ucw0cz2QM7k338U0sBU8yLy4zusD4e6OC1O9XdTv1LQ+MnwPnz54V3arcbqdvpsNtJ8AUWvmnLtwBL6ExxCh4eoxq+IeNj9BiTBJ/b20zX42icr5eP87kBLxDwoYcTu1wEX1eI3G4h+Ho5fMarXfh617fJaiYDP+Sg0vKxdzgJvv1uORMeR/D1cvh4oJzkVcGHz3pnvvhGVx6Cj+AznBA+lZHe7YS41zfItZWPGxD/pSGCj+CTUyiCz2/40OqNi4k1ukwEH8FH8PmwVKw3oKLbOSw2vtM7nAQfwUfwdRN85nc4CT6Cj+DrBviYh9PocwLQUMN+go/gCzB89y/fAu9f+h+eO/J2fhvDpUuj+LGBhhokFJk9R+Gyu6cU8ed2kvfnmc/qS0PU7STLR5ZP4obhFr7hifNhzIRJwvs5wUfwEXwBhG9U/IxOHk6eQoKP4CP4Agif2cNJ8HW0AAVQklA647mIBtkdD7KLPJwEH8EnZ+14OAk+R/DFvZkMbWc/5VnrkqduJ3U75UAMQvhwNoNsQGGnDhd8h7O8vLwLcPwGgo/g65Pw4bcS2JQio2vNW3pT3gl8dz/zCkyOt4/DSfD1Avg2lNWCp/G0ulR/FLyZperkYd12nQRtS4FamY2nQdtSCJ6dJ5XK9WaWgWf7EZ8yQ28fCgmvrwNcCtsej697z0ghtw6GuBfeMNb1fRb/2aSZj8Hy5cuhvb3dZ8JgR/jRSbtyTvZjsKODBw8qlYk3iebmZqUyMdgRxptxcm12ZTHAU01NDd+5MPKWAZRWZeZ3BPzBoD8qUmFdR2AiFbKYjOKdoK3brKZ+TCYGKVq3BbxFDUrlasmZ+peKrNoy8oE5kPDCa5D46h8gdGC4+NwFdaClbTVSyE03Q3zSImMd91nJr2vepwOAEPhKFRUVsH37dp9lfB0v2ofKV11drVTmjh079GBHovO53dbY2AhFRUVK69na2koBlGS6caxMd7zhMvWVNcAShpHAb/Lh+TF+J3Y9WV18LWW7nXYeTuNWTO926p8I49vD3zy9XmZ6VvKl0LivO+DDqGUsIWz4NVr8HiAuv/P9/lJOFxn4Hs2shdYPPpbWIXrm6wXPfBS9LLDRy6xuAKotX9iQCNi0aRPBJ9ECNMjuxEoF4VADdkFVDTV0fGlomoTaXS5Clo8sn9QzjycI4bOyiKLtdt3Omb99XXcgXEbLPkfwEXwEn0QPwA4+X+9wWmFI8BF8BJ+f8DnxcPIgEnwEH8HnB3z4rLfz8Ps8U9J5go/gI/j8gO+OsZMs5+vZUUjwEXwEn0v4Ojyc9u9wWkFI8BF8BJ9L+KYkPQ346pXbH8FH8BF8LuFz4+HkQSX4CD6CzwV8bj2cBF9HC9AbLhJKZww40yC7MZMd43DWtB7iOXKVJ8tHlo8sn8RNiB9kt4rD6ZRAgo/gI/gcwIcezrtjJzvlTFie4CP4CD4H8N238AXX43pmAgk+gq9PwofBk8KnTIewMTFS18+6nf56OHkACT6CT0r5gmlWA04jGp20BJbs/kju2tvaAeFb8I78XD0eMqs8wdcL4NtYuQM8refUpV0fgDenUp08rFvzx6ClF6mV2XoOtPRi8DSdUSpXv3YMyiRo0yeLmyF08DDhvk7lTcGRfhR6A8x/9jn4y1/+YqQvv/wS/EmHDh2CU6dO+SXDfP7jx4/DkSNHlMr88MMP9ZAP5nP5s47Bjvbs2aO0nhhgqb6+Xnivsw6glJ7bEfCnoE7NMqcStPVb1MhidcqvAW1NilqZGKQIZeZtUypXv/acSqHMRG05RMTEQXjUBPjFwHCYOOcJYTkEWNuYbaTvfu8/IC4uDgoLC43U1NQE/qTi4mI94I8/MszHYqzQ0tJSv+pllokBmbZu3apUJgaOysvLUypz165dFEDJGBuUcGR0RwyXaW+nAUvY3Rxw00CjyxkWFQ04o91Xnae+ug6u+eEPITs7W3hXdbuRup29oNtJMVwCG8Nl3CINMGEQpYQV6frzHoMNYcTE1kXL6c8thUGDBhF8bu8yguPoDRcJy2QoY5C84cIiVbPrwjCCdpYPPZyjRo0i+AQQud1E8PVB+BA6HGZgoeLtAiixdzgJvqNuORMeR/D1UfiY1bNbxv8+BYp3NOrKQ/ARfD6fTQxlaj0H3oJaubKyAAZJt9NoI4nr5t/hJPgIPjmgCD7wtHwi11YWEI585CmYMHmK0WUi+Ag+OYUi+PyGL9Hze/0rOow+go/gI/gsLBXfnfQW1PkNn/kdToKP4CP4ugE+5uFkVg+XBB/BR/AFGL641zdARmkVz52eJ/gIPoIvwPChhzMzM5Pg41rg4sWL+hd0uU1+Z2mcT0KRjWepPjDUEOtZCZPjxV8aIstHlo8sn8QNw63DZdGadMjJyRHe1Qk+go/gCyB8Zg8nTyHBR/ARfAGCT+ThJPg6WoCe+SSUzng+o0F2R+N8CSszISWviGetS54sH1k+snwSNyG7Zz6cQhSZ9I62ly4AAAO0SURBVJyecIrRwOGRsGLFii7A8RsIPoKP4PMTPoQNZ7IjgJj6X3sdTI63/9IQwRek8G2qaQSMDqYsNX8M3vxt6uRh3fZfBC2rVK1MHL7IKgPPvgtK5XrzazqCMgnadG5OPYRPTjDOd+0vb4SMjAz4xz/+0Sn97W9/Az6NHDkS0tLSOm0zH+N0/ejRo3D27NlO53Uqw1z+9OnTcPLkSaUyz58/D4cPH1YqEwNR7d27V6nMv/71r4BxXEQ/nwGUMJaJspRRrAcmUiYP65ZVBkvf3aCujt9ery4zq0yt3DUpeqQ1q+sPHzUOou57UE+xU+P0iFcY9YpPGDQIB9tZCgsLgyeeeMJYxyEJvrybPAYQwiBKbo61OgYDHWGQJ6v9brZjQKbc3FylMisrK/W2dFMfq2NqamoogJLh+JHoIiIgngOBjeEyZ3MVsIR1w9nrGD7i5oi7YOnSpaIbZZdt1O0M0m4nBVAKLHzDZs0HTBhACUNIIHz4zYU1adkwdepUKCkp6QKbeQPBR/CRw0XCmvrydk5Y/BpgCh89Xu9GLVq0iOAz32lM6zTOJ6F0RnePxvksx/kwRPy1AwfDz0N/AXPmzIHIyEiTqolXyfKR5SPLJ3ET8mX58Aa18N0tutUTYybeSvARfASfAvh8vcMpRo8m0+KwiMofTSmSUGSjKxskU4rs3uG0UjCyfAQfWT6JG4ZVtxM9nCs2pFrx5XM7wUfwEXx+wMfH4fRJmmAnwUfwEXwu4UOrFzl+ggAruU0EH8FH8LmE79mNHa9HyaHWtRTBR/ARfC7hc+Ph5BEk+Ag+gs8FfG49nARfRwvQGy4SSmcMC9AbLsYbLvis9/qqtTxHrvJk+cjykeWTuAnxQw2D7hrr+G0WEZ0EH8FH8DmAL/rFZTAuOlbEkuNtBB/BR/A5gO/F9BIlVg9JJfgIPoLPAXz+ejh580jwEXwEnyR8Gcc/5dnxO0/wEXwEnwR8sXMXwh9S0vwGjhdA8AUpfDlFpZBfVassZZdWwqasPGXysG55lTXKZaJcrGdexTaldZ31yGOQkpKiP+9ZBdux224OoBQdHQ2vvvqq0gBKBQUFV0wAJayrXZs52Y8BlFTLxABKLS0t/D3TyAujl+Fec/g3Wu8cxq8n2oMPG2iV74l60TntdcMgjstYwseVoSy1ALVAAFqA4AtAo5JIagGZFiD4ZFqJylALBKAFCL4ANCqJpBaQaQGCT6aVqAy1QABagOALQKOSSGoBmRYg+GRaicpQCwSgBf4f6iqsb69NVtQAAAAASUVORK5CYII=[/img]
Here are some statistics for the number of minutes it took each of 9 members of the track team to run 1 mile.
[list][size=150][*]mean: 7.3 [/*][*]median: 7.1[/*][*]standard deviation: 1.1[/*][*]Q1: 6.8[/*][*]Q3: 7.4[/*][/size][/list][br]When a tenth time is added to the list, the standard deviation increases to 1.5. Is the tenth time likely an outlier? Explain your reasoning.
Elena is solving this system of equations:
[math]\begin{cases} 10x-6y=16 \\ 5x-3y=8 \end{cases}[/math][br][br][size=150]She multiplies the second equation by 2, then subtracts the resulting equation from the first. To her surprise, she gets the equation [math]0=0[/math].[/size][br][br]What is special about this system of equations? Why does she get this result and what does it mean about the solutions? (If you are not sure, try graphing them.)
Jada has a sleeping bag that is rated for 30° F.
[size=150]This means that if the temperature outside is at least 30° F, Jada will be able to stay warm in her sleeping bag.[/size][br][br]Write an inequality that represents the outdoor temperature at which Jada will be able to stay warm in her sleeping bag.[br]
Write an inequality that represents the outdoor temperature at which a thicker or warmer sleeping bag would be needed to keep Jada warm.[br]
Here is an inequality:
[math]6x-20>3\left(2-x\right)+6x-2[/math][br][br]What is the solution set to this inequality?
Here is a graph of the equation
[math]2x-3y=15[/math][br][br][img]data:image/png;base64,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[/img][br][br]Are the points [math]\left(1.5,-4\right)[/math] and [math]\left(4,-4\right)[/math] solutions to the equation? Explain or show how you know.
[size=150]Check if each of these points is a solution to the inequality [math]2x-3y<15[/math]:[br][list][*][math](0,-5)[/math][/*][/list][/size]
[list][*][math](4,-2)[/math][/*][/list]
[list][*][math](2,-4)[/math][/*][/list]
[list][*][math](5,-1)[/math][/*][/list]
Shade the solutions to the inequality.
Are the points on the line included in the solution region? Explain how you know.[br]
A store sells notepads in packages of 24 and packages of 6.
[size=150]The organizers of a conference needs to prepare at least 200 notepads for the event.[/size][br][br]Would they have enough notepads if they bought these quantities?[br][list][*]Seven packages of 24 and one package of 6[/*][/list]
[list][*]Five packages of 24 and fifteen packages of 6[/*][/list]
Write an inequality to represent the relationship between the number of large and small packages of notepads and the number of notepads needed for the event.[br]
Use graphing technology to graph the solution set to the inequality. Then, use the graph to name two other possible combinations of large and small packages of notepads that will meet the number of notepads needed for the event.
Close

Information: IM Alg1.2.23 Practice: Solving Problems with Inequalities in Two Variables