[size=150][size=150]There are two questions about each situation. For each question that you work on:[/size][br][list][size=100][*]Write an inequality to describe the constraints. Specify what each variable represents.[/*][*]Use graphing technology to graph the inequality. Sketch the solution region on the coordinate plane and label the axes.[/*][*]Name one solution to the inequality and explain what it represents in that situation.[/*][*]Answer the question about the situation.[/*][/size][/list][br][/size][size=150]Bank Accounts[br][br][/size]A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking account and some in the savings account. (They might not deposit all of it and keep some of the money as cash.)[br][br]If the customer deposits $200 in their checking account, what can you say about the amount they deposit in their savings account?

The bank requires a minimum balance of $50 in the savings account. It does not matter how much money is kept in the checking account.[br][br]If the customer deposits no money in the checking account but is able to maintain both accounts without penalty, what can you say about the amount deposited in the savings account?

[size=150]Concert Tickets[/size][br]Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Fewer than 400 tickets in total were sold.[br][br]If you know that exactly 100 lawn tickets were sold, what can you say about the number of seat tickets?

Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.[br][br]If you know that exactly 200 seat tickets were sold, what can you say about the number of lawn tickets?

[size=150]Advertising Packages[/size][br][br]An advertising agency offers two packages for small businesses who need advertising services. A basic package includes only design services. A premium package includes design and promotion. The agency's goal is to sell at least 60 packages in total.[br][br]If the agency sells exactly 45 basic packages, what can you say about the number of premium packages it needs to sell to meet its goal?

The basic advertising package has a value of $1,000 and the premium package has a value of $2,500. The goal of the agency is to sell more than $60,000 worth of small-business advertising packages.[br][br]If you know that exactly 10 premium packages were sold, what can you say about the number of basic packages the agency needs to sell to meet its goal?

Without letting your partner see it, write an equation of a line so that both the [math]x[/math]-intercept and the [math]y[/math]-intercept are each between -3 and 3. Graph your equation on one of the coordinate systems.

Still without letting your partner see it, write an inequality for which your equation is the related equation. In other words, your line should be the boundary between solutions and non-solutions. Shade the solutions on your graph.

Take turns stating coordinates of points. Your partner will tell you whether your guess is a solution to their inequality. After each partner has stated a point, each may guess what the other’s inequality is. If neither guesses correctly, play continues. Use the other coordinate system below to keep track of your guesses.[br]

[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?

[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.

[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.

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[/img]

[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.

[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.)

[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]

[math]6x-20>3\left(2-x\right)+6x-2[/math][br][br]What is the solution set to this inequality?

[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]

Are the points on the line included in the solution region? Explain how you know.[br]

[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.