[size=150]The equation [math]y=4.2x[/math] could represent a variety of different situations.[/size][br][br]Write a description of a situation represented by this equation. Decide what quantities [math]x[/math] and [math]y[/math] represent in your situation.
[size=150]Elena babysits her neighbor’s children. Her earnings are given by the equation [math]y=8.40x[/math], where [math]x[/math] represents the number of hours she worked and [math]y[/math] represents the amount of money she earned. [br][br]Jada earns $7 per hour mowing her neighbors’ lawns.[/size][br][br]Who makes more money after working 12 hours? How much more do they make? Explain your reasoning by creating a graph or a table.
What is the rate of change for each situation and what does it mean?
Using your graph or table, determine how long it would take each person to earn $150.
[table][tr][td]Han earns $15 for every 300 envelopes he finishes.[/td][td]Clare’s earnings can be seen in the table.[/td][/tr][tr][td][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]How much money does each person make after stuffing 1,500 envelopes? Use the graph below to help you answer this question.
What is the rate of change for each situation and what does it mean?
Using your graph, determine how much more money one person makes relative to the other after stuffing 1,500 envelopes. Explain or show your reasoning.
[table][tr][td]Lemonade Recipe 1 is given by the equation [br]where represents the amount of lemonade mix [br]in cups and represents the amount of water in cups. [/td][td]Lemonade Recipe 2 is given in the table.[/td][/tr][tr][td][/td][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAADhCAYAAAB/YvjsAAAgAElEQVR4Ae1cC9QVVRn9eSqQPILKCMgyoBKhglxBRGSkqLBESgPRCiQriGhFgggm9hCULHtZGURlGbGA0pWUBiXaIpEV9lCJxUPkmTyViIc8vtY+qzNr7v3nu/+duXdmzszss9blv/fMeXzf3nv2nDkz2iAsRIAIEAHHEWhwPD6GRwSIABEQGhVFQASIgPMI0Kicp4gBEgEiQKOiBogAEXAeARqV8xQxQCJABFSjatuimfBDDKgBaiBpDQTZckWjCurAOiLgKgI4oViyjYDGIY0q27wyeh8Cmsh9TfjVcQQ0DmlUjhPH8KpHQBN59SOwZdoIaBzSqNJmhvPXDQFN5HWbgAPFjoDGIY0qdug5QVIIaCJPan7OUzsCGoc0qtqx5QiOIKCJ3JHwGEYVCGgc0qiqAI9NsoGAJvJsRM8ogYDGIY2K+sgNAprIc5NgARLROKRRFYD8oqSoibwo+echT41DGlUe2GUOBgFN5IQnOwhoHNKossMhI20CAU3kTXTjYYcQ0DikUTlEEkOpDQFN5LWNyt5JIqBxSKNKkgXOFSsCmshjnZSD1xUBjUMaVV1h5mBpIqCJPM2YOHc4BDQOaVThcGRrhxHQRO5wyAytDAGNQxpVGVD8mV0ENJFnN6PiRa5xSKMqnhZym7Em8twmnMPENA7rblTf/va35Qtf+ILcf//9OYSxNKWvfvWrJtff/OY3pQdi/vXMM8/Igw8+KCdPnow806ZNm2TVqlVy5MiRyGPUs+Pu3btNPC+++GLkYTWRRx7Q8Y6ucfjss88aDl955ZXIyGkc1t2oBg4cKA0NDfLRj340crBZ6XjeeeeZXD//+c8nFjJE0KFDBzPvL37xi0jzHj16VHr06CHnnnuu1CKqSJMrnXDSNWvWTK644gqlRdPVmsib7hlPi2PHjsnmzZtjGdxFDhcsWGB0OX/+/Mg5axzSqCJDKpKGUSHcD33oQ9K5c2d5+umnI0X/s5/9zAjqlltuidQ/rk4XX3yxietf//pXpCk0kUcarMZOuHi1bt1aRo4cWeNIwd1d5BCr8/bt28sb3vAGOX36dHDgTdRqHNKomgCu0uG0jAox1bISuvzyy40hYBXjUsF2AVbjc+bMiRSWJvJIg9XY6corrzS5xGVUrnJ4ww03mLwfe+yxSAhqHCZiVHDaKVOmSO/evaVTp05mRYB9FpSXX35ZLrzwQunbt6/86U9/kne84x1yzjnnCIjYv3+/fPe735ULLrhAXv3qV5sx/PsyGHf69Ony9re/Xdq1a2f6futb3/Lc3I6N8Z944gl53/veJ23btjVzrV692gPyH//4h3z4wx+WN7/5zdKmTRsT5+zZs+XEiRNeGyzjcZXs1q2bvPa1rzWx4MqBE8t/67dlyxYzVteuXc2V5WMf+5gcOnTIG8f/ZfTo0Sb3X//61zJ8+HCTw4ABA+TJJ580WAwePNhcoS677DLZs2eP6QqDQj74/OpXv5Lf/va33u8//OEPps2SJUtMXb9+/WTjxo3+KQ02uHU8++yzS+qBK5bsF110kcEfPH3nO98xe1h2vmXLlpk++/bt8+Z8+OGHTd3cuXNN3bx58+Sb3/ymvO1tb5OOHTvK1VdfLXv37vXmwioQK0LEgONDhw71cP7b3/5m8MTKKkrRRF5pLFz5sV2BHH/4wx+apljR4fegQYPkzJkzpm7ixImm7rbbbjN8fuYzn/F01717dxk3bpz8+9//Nm1vvPFGwxu0AS1jLP+e7T333CPvfve7zTHgvXTpUi9Eq4nf//73RkdYlfl1iIaIOQ4O7dzQ1Kc+9Smjdej45ptvLtkPRbw4T3GuvO51ryvRP3JD3l/+8pe9nMJ80TiM3ahOnTolOPkQfP/+/eWDH/yg+Y4lIjZO//vf/5rfOI7EsU+B7/jAFPDXX2fFhBPLjgvzede73iXNmzc37SEiFP/YaGPHxd8uXboYk0Q7mBaODxkyRC699FJp1aqVaTtjxgwP44985CNef5zE/rGsUT3//PPGiHEMRguDxff3vOc93jj+LxArjsM0/DkitvK6sWPHmq4QrZ37+9//vjmR7C3TW9/6VpOzXel98Ytf9E9nvsNI0R8XDVtwMsI87LjWRHBywext/Y9+9CPTBaZp6+w+2U033WTqcGLimMUQ35En5vjPf/5jTB51OHlx4YCZ2vLSSy+ZvrgoRSmayJsay65+YKooMGibHy6oiN1yjpMUFy1cGKHnESNGmNtwtLc8Y5/NahF/wSXGRIFW0BZ7hFdddZWcddZZhvsVK1aY4zAuHO/Vq5cXQ7lRxcWh1aPlsGXLll4M06ZNM/H95S9/8XLDRQaGZc83NMCDJcQP04tSNA5jN6qf/vSnJnAYib1vBblI5itf+Yq5WuA7PiDu4MGDcs0115jfqPve974nO3fulDe96U1eGwCAk8b2W7t2rcHkzjvvNHU46Tds2FAyNk4KXNnvuusur98jjzxi+sH0MC9WKy+88ILY5SuMEgUrLjsXrqgojz76qFdnjWr8+PGmburUqaYNBA3TQV+s6MqLffAAY8FTL6xE7Dy4QmMlNmrUKFOHEwWl3KhQt23bNnN1Rl+swvAXRnD8+PHyKQVCw/FLLrnEO/bzn//cmxdPbW0BLtUaFa66NnZcTLDatScl6oHXU0895bXBE0eU8ltYrLLAH+YOWzSRNzUO4kWMb3nLW0xT6LBFixamDit6rLBwHKYCs0WBlmBgMG3bH23s5rk1P/+tHwwG48K47Ar561//uhkbF3AUqwmM9bnPfU6wYrXnjWkgEhuHMFrMiwUDVr447z7wgQ+YOqzswKk9f6BHrKxR/BzaVTHOtyhF4zB2o5owYYJJFCcsrkD4YLkIQGBI/hPvgQceMLn98pe/NMfR5sCBA6bu4x//uKmD66NYM7HiQh1OWPTBB5uN/rEhOBSAa9vgKQUKnqBMnjzZe5pmj+OEQbFmi3oYmi24KqLOGhVuHfEbpmpztSu5e++913bz/lpR4lYBxb9SsbdZixYt8uLFCtGfE1ZUttx3331eO1wJIZigYg322muv9Q5/8pOfNH1hmOWlWqOaOXOmGcO/GoL5WizvvvtuYz6vf/3rTR2wxSoVFwZ/AZ/og9VV2KKJvKlxduzY4cWEiwNOQqysEQdWWXbvDLfgtmCLwa5cbY74a7cUgozKboDD8Kw+zj//fDMPthNQrCbe+9732qka/Y2LQzs3jNoWnJM2v7/+9a/yz3/+01tRwdDAOwzMFpgb2mOlFaVoHMZuVHZ1hOUkTmT/59Of/nTJiQeDQnnooYc8cOz+Dq4uAAAEo4wZM8b8xj6RLc8995zXD6uEoJMaqxwLvL2NxEmLOqygcI9t50IdrpowGdsHorYFexOot0YFseH3a17zmpI8kTMMp7xYYWA/AOXw4cPePNi3Qlm+fLlXh6t5UE5o5zdTxLBy5UrTv/wfu6p5//vf7x3CqyTog9uN8uKPCScnit9Q7a2fNSp7wqEduLO3QMAVBeYFvGFUmBO3UPZihOMQP1YdwD1s0URezTjYI0U8uKDhL/brYJrYo8EtNOrshcFeFGA42MtEPY7j88c//tFMZ40Kdw+2WB3hQuI/D/DdnthWE5Ve74mLQzs3zllb/OeivfhhfnuLipzRzxbsr6IOK7EoReMwdqO6/fbbTeDYXPU7r03Cf+KFMSps2lpx4NYMxX/rhJfP/GNbkZUbFU6IV73qVWYsXPVR7C0kxkfBJr+dC5uE6LNu3TrvJLRGZZfJ119/venX1D9WGLUa1a5du8zGNGLELTb+4kqNlWJ52b59uzn+xje+0TuEF1dtfkEvr8JMcBxXWtyGwERt+3KjgjHZ1yb8t0QwTuBmb2PAmd0DsRvN1gBhDlGKJvJqxrK3rhY/rB4+8YlPmDxhIjBWrBZQsAeF/O1tHbYeLB7QCoq9+GHfEPu0KFhtoR3y1l7BsJqoZFRxcWjnxgUY5yrivu6667yYce74b8n9Bo2YUOzdkH/Fbg5U+Y/GYexGhQ1z3A6AINzyYc8FBPfs2dMs7/1mEsaocAsGQWNc3F7hqZm9SmN/B8U/tmZUaGf3v3Arh6d09nYNY4MsnFzY9MVvfHCSQ2z2RMMKDAVP3WwbGDNubXAL4d8PMg3//48VRq1GZff8sErChj6u9IjD/zDAPy9uv7BqsaLD01W7GgSGyBUnLFZpKP6NdrwkijZ2pYTbGRS7osK8wM+PF66+wBAnP26X8ATNrojRfs2aNWYMu3/mv/UwB6r8RxN5Nd2xh2i5g05hqjBhW4cHN7bYvUjkCTOzD33Q1q5ksf9q+wIzbMJjTOzdoB4rR2gWm87AGk/aUKwmKhkV2sXBoZ0b8QEDe17gt91M/8Y3vmEejnz2s5/19kPx8AUmhoKnv2hvV9+mMsQ/GoexGxVi/Pvf/26eqFlxIxHcsuFWzW8mYYwK46I/njxYg8ImJf7zHbty849dyahgMNZMsbqyV1fEaW89sRFqn4rgJMfeG/aW0MbuMSEm3KrZfQccwwdCDCpWGLUYlf+W789//rOZxj6Bg5Ha1Y1/frvf9/jjj3vVwHLYsGGe+SLur33ta+Y4Vqe4PUEdxoRogTt+4zYIxRoVNsPtOz44jieS9mr7u9/9zlv54RheWrVPwzCG3ai1t+Rm4BD/aCKvZghckLA3hbiADwpeN8BvfGA8tiCfPn36mHpoAa/e2Icm9pYdt7N2dYb+CxcuNN2xR4rxoVU7Np6AY6sCxWqiKaOKg0M7N3SOhQTiQ36TJk3yjAh3FP4nulgx2ttdxG+511aMJskK/2gc1t2oKsRgnkJt3brVvB9VqV3YY9hkxrh2iR22P9pjdYHViF1laGNAvNYItTaoxyY0YsIej2vF7iMEnQwwd8RtDdrGjhUR8EFeQcUaFa7EKDgh/XtPtg/GwT4VPlhh2IJ6mCFO2qiYaSK3c9T7Lx4EQHuVCm7Lsa/pzxXtkS/643Y3im7j4NAaldUFDDlo+wAawYMr/4Ml5ATdYDGCi1jUonGYqFFFDZ796o8AVoR4UbbckKLOVG5UYcfB7R82r6PeMmA+TeRhY8lK+3pzWG5UYXHAAxNwiFv4qEXjkEYVFVH2K0GgVqMqGSziD03kEYcrXLdajaoegGkc0qjqgS7HMP+VAfayyv+TnSSh0USeZAxZngu3buDQ/wpO0vloHNKokmaC88WGgCby2CbkwHVHQOOQRlV3qDlgWghoIk8rHs4bHgGNQxpVeCzZw1EENJE7Gi7DCkBA45BGFQAWq7KJgCbybGZTzKg1DmlUxdRDLrPWRJ7LZHOalMYhjSqnhBcxLU3kRcQiqzlrHNKossoo426EgCbyRg1Z4SwCGoc0KmcpY2BhEdBEHnYctk8PAY1DGlV6nHDmOiOgibzO03C4GBHQOKRRxQg6h04WAU3kyUbB2WpBQOOQRlULquzrFAKayJ0KksFUREDjkEZVETYezBICmsizlEPRY9U4pFEVXRk5yl8TeY5SzH0qGocVjQqd+CEG1AA1kKQGgtxYNaqm/s+FQYOxjgikiQA1myb69Zlb45BGVR98OYoDCGgidyA0hlAlAhqHNKoqAWQz9xHQRO5+5IzQIqBxSKOyCPFv5hHQRJ75xAqUgMYhjapAIsh7qprI8553nvLTOKRR5YnlgueiibzgsGQqfY1DGlWmaGSwlRDQRF6pD4+5hYDGIY3KLZ4YTQ0IaCKvYUh2TRgBjUMaVcJEcLr4ENBEHt+MHLneCGgc0qjqjTTHSw0BTeSpBcSJQyOgcUijCg0lO7iKgCZyV+NlXI0R0DikUTXGijUZRUATeUbTKWTYGoc0qkLKIZ9JayLPZ7b5zErjkEaVT74LmZUm8kKCkdGkNQ5pVBkllGE3RkATeeOWrHEVAY1DGpWrjDGu0AhoIg89EDukhoDGIY0qNUo4cb0R0ERe73k4XnwIaBzSqOLDnCMnjIAm8oTD4HQ1IKBxSKOqAVR2dQsBTeRuRcloKiGgcUijqoQaj2UKAU3kmUqi4MFqHNKoCi6MPKWviTxPOeY9F41DGlXemS9QfprICwRB5lPVOKRRxUjt6dOnZdGiRTJhwgTZu3dvo5m2b98uU6dOlWHDhsmMGTPk0KFDjdqwonoENJFXP4IbLQ8fPmw0A93Yz5QpU0qCy6t2NA5pVCX01+/Hpk2bpE+fPtK5c2dpaGiQLVu2lAy+c+dO6d69u4wcOVIWLFgg/fr1k/79+8uJEydK2vFH9QhoIq9+BDdarl+/Xs466yyZPHmy95k+fboXXJ61o3FIo/Lor++Xbdu2yfz582X16tWBRjVz5kzp2bOnHD9+3Ey8detWadGihSxdurS+gRRoNE3kWYNg2bJlcsEFF6hh51k7Goc0KlUO9TmwZs2aQKPq1q2b3HrrrSWTDBw4UMaOHVtSxx/VI6CJvPoR3GiJC9yoUaPUYPKsHY1DGpUqh/ocCDKqY8eOGfNasmRJySTYjxg0aFBJHX9Uj4Am8upHcKPlpEmTpFevXuaidcstt8iGDRu8wPKuHY1DGpUngXi+BBkV9quwb7Vq1aqSSadNm2ZuB0sq+aNqBDSRVz2AIw0XL14sd999t9x8881y4YUXmv2qhx9+2ESXd+1oHNKoYhZnkFHt2bPHGNWKFStKZseVFBvqLNEQ0EQebTQ3ep05c0Yuv/xy6d27twko79rROKRRxazHIKOC+Fq1aiULFy4smX306NEyYsSIkjr+qB4BTeTVj+BmywceeMBc2A4cOCB5147GIY0qZm0GGRWmHDp0qIwZM8abHe9cdenSxTwp9Cr5JRQCmshDDeJg4zvvvFPOOeccgUZQ8qwdjUMaVczC1Ixq+fLl0rJlS8HtH96dwiPndu3ayb59+2KOKL/DayLPUsZHjx4VPGQ5ePCgvPLKK/LQQw9Jhw4dZNasWV4aedaOxiGNyqM/ni+aUWG2efPmSZs2baR169bSo0cPQVuW6AhoIo8+YvI9N27cKOedd5651WvevLlZSd1+++1y8uTJkmDyqh2NQxpVCf3J/8BqCm8as9SOgCby2kdOfoT9+/cLXhrGnpRW8qgdjUMalaYC1mcOAU3kmUukwAFrHNKoCiyKvKWuiTxveeY5H41DGlWeWS9YbprICwZDptPVOKRRZZpWBu9HQBO5vw2/u42AxiGNym3eGF0IBDSRhxiCTVNGQOOQRpUyMZy+fghoIq/fDBwpbgQ0DmlUcSPP8RNDQBN5YgFwopoR0DikUdUMLQdwBQFN5K7ExziaRkDjkEbVNHZskREENJFnJHyGKSIahzQqyiM3CGgiz02CBUhE45BGVQDyi5KiJvKi5J+HPDUOaVR5YJc5GAQ0kROe7CCgcUijyg6HjLQJBDSRN9GNhx1CQOOQRuUQSQylNgQ0kdc2KnsniYDGIY0qSRY4V6wIaCKPdVIOXlcENA5pVHWFmYOliYAm8jRj4tzhENA4pFGFw5GtHUZAE7nDITO0MgQ0DmlUZUDxZ3YR0ESe3YyKF7nGIY2qeFrIbcaayHObcA4T0zikUeWQ7KKmpIm8qHhkMW+Nw4pGhU78EANqgBpIUgNBBlvRqII6sI4IuIoATiaWbCOgcUijyjavjN6HgCZyXxN+dRwBjUMalePEMbzqEdBEXv0IbJk2AhqHNKq0meH8dUNAE3ndJuBAsSOgcUijih16TpAUAprIk5qf89SOgMYhjap2bDmCIwhoInckPIZRBQIahzSqKsBjk2wgoIk8G9EzSiCgcUijoj5yg4Am8twkWIBENA5pVAUgvygpaiIvSv55yFPjkEaVB3aZg0FAEznhyQ4CGoc0quxwyEibQEATeRPdeNghBDQOaVQOkcRQakNAE3lto7J3kghoHNKokmSBc8WKgCbyWCfl4HVFQOOQRlVXmDlYmghoIk8zJs4dDgGNQxpVOBzZ2mEENJE7HDJDK0NA45BGVQYUf2YXAU3k2c2oeJFrHNKoiqeF3GasiTy3CecwMY1DGlUOyS5qSprIi4pHFvPWOKRRZZFNxhyIgCbywMasdBIBjUMalZN0MagoCGgijzIW+6SDgMYhjSodPjhrDAhoIo9hKg4ZEwIahzSqmADnsMkjoIk8+Ug4Y1QENA5pVFERraLf6dOnZdGiRTJhwgTZu3dvSY9du3bJ7Nmz5YorrpBLL71U7rjjDjl27FhJG/4Ih4Am8nCjuNP60KFD8uMf/1iuvfZamTNnTklgs2bNMrqCtuxnx44dJW2y+EPjkEYVE5ubNm2SPn36SOfOnaWhoUG2bNlSMtNtt90m11xzjdx7770yceJEOfvss+X6668vacMf4RDQRB5uFDdar1q1Srp27Sq9e/c2JvXYY4+VBNa+fXsZM2aMTJ482fvg4pf1onFIo4qJ2W3btsn8+fNl9erVgUaF1Za/3HjjjdKuXTt/Fb+HREATechhUm/+wgsvSNu2bWXGjBly5syZRvEcOHDAaGrfvn2NjmW9QuOQRhUzs2vWrAk0qvJpp0+fLgMGDCiv5u8QCGgiDzGEE02vvPJKueqqq9RY1q1bJx07dlSPZ/mAxiGNKmZWKxnViy++KBDd3LlzzTL/kUceiTmafA+viTxLWWNfClsFP/nJT+Tqq6+W888/3+xhPvXUU14aS5YskQ4dOphbvylTpsjKlSu9Y1n/onFIo4qZ2UpGddddd0mnTp2MMMePHy/79++POZp8D6+JPEtZP/7440YP73znO2Xx4sWyfPlyGTx4sLRp00a2bt1qUoGmsK2ADfbhw4eb9ngwk4eicUijipndSkZlp8ZG+5AhQ6RXr15y9OhRW82/IRHQRB5ymFSb/+AHPzDGs3HjRi8ObJI3a9bMPCX2Kn1f5s2bZ/rs3r3bV5vNrxqHNKqY+azGqBDCc889Z8SGKyhLNAQ0kUcbLZ1eWEW1bNlSTp06VRIAniBfd911JXX2BwwKt4vLli2zVZn9q3FIo4qZ0mqNavPmzUZsS5cujTmi/A6viTxLGT/77LNGB08++aQX9uHDh6V169aCV1qCytq1a00f7HdmvWgc0qhiZlYzqoULF8qGDRvMlfP555+XSy65RM4991zBo2eWaAhoIo82Wnq9Ro4cKRdddJHglg+vIEyaNMnsUeG1BRRczPByJ15xWb9+vfTt29dsHZS/8pJeBtFn1jikUUXHtKqeQUYFQV122WXSvHlz88H+w6BBg+Tpp5+uakw2CkZAE3lwa3drDx48KKNHjza3gK1atZIePXoIXgBFgXawuY5bPegHx8eNG9fov3xwN7vKkWkc0qgq4xbr0ePHjwtu+Y4cORLrPEUZXBN5VvNHPjt37gwMH5qBdk6cOBF4PKuVGoc0qqwyyrgbIaCJvFFDVjiLgMYhjcpZyhhYWAQ0kYcdh+3TQ0DjkEaVHiecuc4IaCKv8zQcLkYENA5pVDGCzqGTRUATebJRcLZaENA4pFHVgir7OoWAJnKngmQwFRHQOKRRVYSNB7OEgCbyLOVQ9Fg1DmlURVdGjvLXRJ6jFHOfisYhjSr31BcnQU3kxUEg+5lqHNKoss8tM/g/AprICVB2ENA4pFFlh0NG2gQCmsib6MbDDiGgcUijcogkhlIbAprIaxuVvZNEQOOQRpUkC5wrVgQ0kcc6KQevKwIahzSqusLMwdJEQBN5mjFx7nAIaBzSqMLhyNYOI6CJ3OGQGVoZAhqHNKoyoPgzuwhoIs9uRsWLXOOQRlU8LeQ2Y03kuU04h4lpHNKockh2UVPSRF5UPLKYt8YhjSqLbDLmQAQ0kQc2ZqWTCGgc0qicpItBRUFAE3mUsdgnHQQ0DmlU6fDBWWNAQBN5DFNxyJgQ0DisaFToxA8xoAaogSQ1EOSBFY0qqAPriICrCOBkYsk2AhqHNKps88rofQhoIvc14VfHEdA4pFE5ThzDqx4BTeTVj8CWaSOgcUijSpsZzl83BDSR120CDhQ7AhqHNKrYoecESSGgiTyp+TlP7QhoHNKoaseWIziCgCZyR8JjGFUgoHFIo6oCPDbJBgKayLMRPaMEAhqHNCrqIzcIaCLPTYIFSETjkEZVAPKLkqIm8qLkn4c8NQ5pVHlglzkYBDSRE57sIKBxSKPKDoeMtAkENJE30Y2HHUJA45BG5RBJDKU2BDSR1zYqeyeJgMYhjSpJFjhXrAhoIo91Ug5eVwQ0DmlUdYWZg6WJgCbyNGPi3OEQ0DikUYXDka0dRkATucMhM7QyBDQOaVRlQPFndhHQRJ7djIoXucYhjap4WshtxprIc5twDhPTOKRR5ZDsoqakibyoeGQxb41DGlUW2WTMgQhoIg9szEonEdA4pFE5SReDioKAJvIoY7FPOghoHNKo0uGDs8aAgCbyGKbikDEhoHFIo4oJcA6bPAKayJOPhDNGRUDjkEYVFdEm+u3evVtmzpwpw4cPl1GjRsl9990nZ86cadRr9erVMnHiRHniiScaHWNFOAQ0kYcbJZ3Wp0+flkWLFsmECRNk7969jYLYvn27TJ06VYYNGyYzZsyQQ4cOlbSZNWuW6Yv+9rNjx46SNln4oXFIo4qJvd69e8vo0aPlnnvukcmTJ0uLFi2McdnpTp48KSNGjJBOnTpJs2bNZOHChfYQ/0ZEQBN5xOES67Zp0ybp06ePdO7cWRoaGmTLli0lc+/cuVO6d+8uI0eOlAULFki/fv2kf//+cuLECa9d+/btZcyYMUZr0Bs+u3bt8o5n5YvGIY0qJgbLRXLTTTdJu3btSlZVuAru27dPWrduTaOqAw+ayOswdKxDbNu2TebPny9YXQcZFVbmPXv2lOPHj5s4tm7dai58S5cuNb8PHDhg+kFLWS8ahzSqhJhdvHixEdPLL7/caEYaVSNIIlVoIo80WAqd1qxZE2hU3bp1k1tvvbUkooEDB8rYsWNN3bp166Rjx44lx7P6Q+OQRpUQo1/60peka9eugbPRqAJhCV2piTz0QCl1CDKqY8eOGaIJY1QAAAPJSURBVPNasmRJSVTYhxo0aJCpw7EOHTqYW78pU6bIypUrS9pm6YfGIY0qARYPHjxo9h/mzp0bOBuNKhCW0JWayEMPlFKHIKPCfhVuB1etWlUS1bRp08ztICrRD7eOc+bMMQ9v0H727Nkl7bPyQ+OQRhUzg6dOnTLiGTBggODqGFRoVEGohK/TRB5+pHR6BBnVnj17jFGtWLGiJKhJkyaZDfWSyv//mDdvnumDJ89ZKxqHNKoYmcTrCFii44lNpUfFNKr6kKCJvD6jxz9KkFFBQ61atWr0sAVPlPHUOKjAoLCqWrZsWdBhp+s0DmlUMdEGgd1www1mXwqPnysVGlUldKo/pom8+hHSbRlkVIho6NChZv/JRod3rrp06WJu92yd/+/atWuNUWGTPWtF45BGFQOTENL48eMF77Y8+OCD8swzz3ifl156qdGMNKpGkESq0EQeabAUOmlGtXz5cmnZsqXg9g/vTuF1BbzqYl9HwGsKWLFDd+vXr5e+ffvKkCFDzO8U0qhpSo1DGlVNsAZ3fvTRR80VDcvv8s/999/fqBONqhEkkSo0kUcaLIVOmlEhFOw7tWnTxrxz16NHD7OBjnqY0+DBg43Omjdvbm4Tx40bF/h2ewophZ5S45BGFRpKdnAVAU3krsYbNi6spvCWelA5cuSIbN68ueRt9aB2rtdpHNKoXGeO8VWNgCbyqgdgw9QR0DikUaVODQOoFwKayOs1PseJHwGNQxpV/NhzhoQQ0ESe0PScpg4IaBzSqOoALodwAwFN5G5ExyiqQUDjkEZVDXpskwkENJFnIngGaRDQOKRRUSC5QUATeW4SLEAiGoc0qgKQX5QUNZEXJf885KlxSKPKA7vMwSCgiZzwZAcBjUMaVXY4ZKRNIKCJvIluPOwQAhqHNCqHSGIotSGgiby2Udk7SQQ0DmlUSbLAuWJFQBN5rJNy8LoioHFIo6orzBwsTQQ0kacZE+cOh4DGIY0qHI5s7TACmsgdDpmhlSGgcUijKgOKP7OLgCby7GZUvMg1DmlUxdNCbjPWRJ7bhHOYmMYhjSqHZBc1JU3kRcUji3lrHNKossgmYw5EQBN5YGNWOomAxiGNykm6GFQUBDSRRxmLfdJBQOOQRpUOH5w1BgQ0kccwFYeMCQGNQxpVTIBz2OQR0ESefCScMSoCGocVjQqd+CEG1AA1kKQGgkxONaqgxqwjAkSACKSBAI0qDdQ5JxEgAqEQoFGFgouNiQARSAMBGlUaqHNOIkAEQiFAowoFFxsTASKQBgI0qjRQ55xEgAiEQuB/7C+9nn+orLMAAAAASUVORK5CYII=[/img][/td][/tr][/table][br] If Tyler had 16 cups of lemonade mix, how many cups of water would he need for each recipe? Explain your reasoning by creating a graph or a table.
What is the rate of change for each situation and what does it mean?
Tyler has a 5-gallon jug (which holds 80 cups) to use for his lemonade stand and 16 cups of lemonade mix. Which lemonade recipe should he use? Explain or show your reasoning.
How long does it take them to finish the pile?