IM 8.3.6 Lesson: More Linear Relationships

Look for a growing pattern. Describe the pattern you see.
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[/img][br][br][size=150][size=100]If your pattern continues growing in the same way, how many tiles of each color will be in the 4th diagram?[/size][/size]
[size=150][size=100]The 5th diagram?[/size][/size]
[size=150][size=100]The 10th diagram?[/size][/size]
[size=150][size=100]How many tiles of each color will be in the [math]n[/math]th diagram? [/size][/size]
[size=200][size=150][size=100]Explain your reasoning.[/size][/size][/size]
Here are 6 graphs and 6 different situations. Match each situation to a graph.
Explain what the slope means in the situation.
Pick one proportional relationship and one non-proportional relationship and answer the following questions about them.
How can you find the slope from the graph? Explain or show your reasoning.
Lin has a summer reading assignment. After reading the first 30 pages of the book, she plans to read 40 pages each day until she finishes. Lin makes the graph shown here to track how many total pages she'll read over the next few days.
Find the point where the line crosses the vertical axis. What does that point tell you about the situation?
[size=150][size=100]After day 1, Lin reaches page 70, which matches the point [math](1,70)[/math] she made on her graph. After day 4, Lin reaches page 190, which does not match the point [math](4,160)[/math] she made on her graph. Lin is not sure what went wrong since she knows she followed her reading plan.[br][br]Sketch a line showing Lin's original plan on the axes.[/size][/size]
[size=150][size=100]What does the [b]vertical intercept [/b]mean in this situation? [/size][/size]
[size=150][size=100]How do the vertical intercepts of the two lines compare?[/size][/size]
[size=150][size=100]What does the slope mean in this situation? [/size][/size]
[size=150][size=100]How do the slopes of the two lines compare?[/size][/size]
Jada's grandparents started a savings account for her in 2010. The table shows the amount in the account each year.
[size=150][size=100][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANwAAAEVCAYAAACLyotJAAAX1ElEQVR4Ae2bMXIjxxJEGSHzH4a3IK/AG/AEugAPsP76PMDasumvS8lcrUlXdPGjqEhGsZUFVIMYLDB4E0ENpia7p/tV1hTIWF1tOCAAgaMRuDrak3gQBCCwoeAwAQSOSGBrwf3vt6sNPzDAA/t7YKzlnQU3DljjdRiKAwKHJuB8tdVpbsChF3UK813KPk+B9SWtwfmKgtts3r42X5IR2OtxCFBwBWcHppAShkCbgPMVHY4O1zYQwjkCFFzBy4EppIQh0CbgfEWHo8O1DYRwjgAFV/ByYAopYQi0CThf0eHocG0DIZwjQMEVvByYQkoYAm0Czld0ODpc20AI5whQcAUvB6aQEoZAm4DzFR2ODtc2EMI5AhRcwcuBKaSEIdAm4HxFh6PDtQ2EcI4ABVfwcmAKKWEItAk4X9Hh6HBtAyGcI0DBFbwcmEJKGAJtAs5XdDg6XMtADw8Pm6urq02cD3k8Pj6+zXt/f795fX1tTf3y8rK5vb19G/f09PQ2Zp95Wg/7hIiCK+A5MIV0leEwbRRTmDjMPB5RCFEQoZkpjHEed71PoVBwjuQZxSi47QW3ZCopuER3HyPmt2F+Y+otGm9JfQ14fn7eXF9fv7053dcVJSPuxU+eT2Mj9ueff77d2/ftu88+A1PeU6wv9hLr0qGvYV+/fn3vEKGLfeW39Dguxmt/2vuoEZu8Zz1PMa0vrmMNbi5pdC/OGq99xFlz6yulrse9ubF5Hq07nhO5+/Lli+2cml/r0nNjrsxOXtK8+fmKaY7sn+zTmCPmF+N8T2P1nLyXXZ+drxb5HS4nUQsVQAHJGm0qzgI7Gk4aQcvQdU9z7wIx3ndgRs147Z4f61DSQj8mXOt0Z+0rxlVsYpx4au6855FxxTDm0Tj3LN3Le9bcyo+e7/YS99yxbYye6cyuZ0iT2Vc8qr1nztqT5lfuXPyPP/5wW9oac75apOAytIC87VrABEibjp38+PHjfUO6H3BiTIauRLyLJz84MJ0p8vryemQ4GUx7yhqtWYaXJrOSxo3T3NLEemUUxTKzak0xTmvIZhz3r7njHIeev23deQ63LxfTWpTn/CzFMo/QZ432HrGcn8xCY7Qn7SHG5LnF7O0Be/zH+WqRgou1KSEB4Pv3729vfiU0b15vl3wWkEoX95cG0+Gb15DXr0RlBmGubDBp8hyxr7xnaTJPMRznDo0MJNNprmwoF4vnxvo1t9u75h4LTs/Ka8wxzaXnxnOUXzdGz8lryYxi3/laczke+Zk5PxqjZ43rVVxjch60n875qAWnzUay9fuDkqV72tB4DiDxM8Z1Hfcc9A4Ep3FgnC7Htu1BCRpNQMH9+/u6DB88R0Yy+2cLbpd/4tl6lnyZ86t1yXPKadbs+ux8tViHyxvSogU6F0u1kRFGHnMKBaeE6O3oiqmjGfeV59HcWaOY5lb3cuP0UpAmcuJiMmfWjWYa86Hnaz2hdzHN4/bg1qy1hGfkF82rWJ5r1Gg943rdmFGjteavotJoXmk656MXXIaX31ix2AxRBRnn2OC2+9ugdyA4jQPjdDmW95bXH59jb3Foj0pWNpg0zgjV3LkgVDjjs+Naz5PGjXMxzaUc5P3KeLo37s3tN4/P9/WcfNaaM6N8Pz7r2Y7ZuB5dj3PEtYp03FOsMc+dxypf4562XTtfLdrh8uLdgp2xKvB3d3eb+AkIMVeeWwC3bX7bPQdmm173lLBYU7xQYu3xWcZQ0t2exKPah4pFSR9fWLEGzR+aKCB9dZdWc7jiyrFxLq1f+4yz9qp7erb2lufIsTxH1mjN3759+/D7vfR6nvYvXnHfMRvXMxbu6J+YR8/QniL2999/v/tMz873tb7O2flq0YITBBmgs8hfoXFgfsU6eOa6CDhfLVJwerPqDZHfTqeI1IE5xXWypvMi4Hy1SMHldn7qxRYpdGDOK7Ws9hQJOF8tUnCnuPlta3Jgtum5B4EOAecrCo4O1/EOmj0IUHAFNAemkBKGQJuA8xUdjg7XNhDCOQIUXMHLgSmkhCHQJuB8RYejw7UNhHCOAAVX8HJgCilhCLQJOF/R4ehwbQMhnCNAwRW8HJhCShgCbQLOV3Q4OlzbQAjnCFBwBS8HppAShkCbgPMVHY4O1zYQwjkCFFzBy4EppIQh0CbgfEWHo8O1DYRwjsBeBReD+IEBHtjPA2OJbu1w//zzz6hf5fWl7HOVyTvhTTlfUXCbzcaBOeE8srQzIeB8RcFRcGdi3/NbJgVX5MyBKaSEIdAm4HxFh6PDtQ2EcI4ABVfwcmAKKWEItAk4X9Hh6HBtAyGcI0DBFbwcmEJKGAJtAs5XdDg6XNtACOcIUHAFLwemkBKGQJuA8xUdjg7XNhDCOQIUXMHLgSmkhCHQJuB8RYejw7UNhHCOAAVX8HJgCilhCLQJOF/R4ehwbQMhnCNAwRW8HJhCShgCbQLOV3Q4OlzbQAjnCFBwBS8HppAShkCbgPMVHY4O1zYQwjkCFFzBy4EppIQh0CbgfEWHo8O1DYRwjgAFV/ByYAopYQi0CThf0eHocG0DIZwjcLSCe3l52dze3m6urq7efq6vrzfPz88fVjtqHh8fP9yPi4jFHDFX6Mfj4eHh/Rn39/eb19fXUdK6dmBaA1cmCn7B0THv5OtQ+VgLVuerRTpcgH96enrnFoWTi07JU5FFMcb9cYzmcQUX91RkMkrE9jkcmH3mOecxwT4KLedA++nk65D50HPP/ex8tUjBjaDGhEWhqVikzQlTLM5hgLHgokBvbm4+dM3Q5aLOc+z67MDsGrOm+8Hz7u7OfouIfe7K16HzsRa2zldHLbgoiqobucIK8C4eBhiLUEUd+tnDgZmd45z18bL7+vXr+9fJ6HT6ttDJ16Hzcc4s89qdr45ScLlolMBIUj5C4zpUHiu9e+Oq4MZ5NWbb2YHZpl/TPXHL7PUVP1h28nXofKyFr/PV4gWnhKrz6HosjJmCc18/q3k7yXNgOuPWoFFxKT/aU+QnvkX89ddfb+dt+Tp0PrSGcz87Xy1acK4I9MbUVxZBdZ0s7rm4zBDz69CzRuPo/razA7NNv6Z7uwru58+fb181t+Xr0PlYC1/nq8UKTgUwvhkDZsT4o8lp2EovwDFPOUf5s1aduxp/NBGVj+ejFZzemmMStZzxvq5dd3IdTiZR0ep6fAvrebvODsyuMWu6H4zd73DKh/KjfOpa98X/UPlYC1vnq4N3OHW2+EvX+JMLQkmTRskbYUd8/ItkaJRkjc9zj3PsunZgdo1Z2/3gLJZxHvOxK1+HzMda2DpfHbzgzhGWA3OO+2DNp0XA+YqC499SnpZLV7QaCq5IpgNTSAlDoE3A+YoOR4drGwjhHAEKruDlwBRSwhBoE3C+osPR4doGQjhHgIIreDkwhZQwBNoEnK/ocHS4toEQzhGg4ApeDkwhJQyBNgHnKzocHa5tIIRzBCi4gpcDU0gJQ6BNwPmKDkeHaxsI4RwBCq7g5cAUUsIQaBNwvqLD0eHaBkI4R4CCK3g5MIWUMATaBJyv6HB0uLaBEM4RoOAKXg5MISUMgTYB5ys6HB2ubSCEcwQouIKXA1NICUOgTcD5ig5Hh2sbCOEcAQqu4OXAFFLCEGgTcL7a2eFiED8wwAP7eWCszp0FNw5Y47V7E61xn+zpuAScryg4foc7rgsv6GkUXJFsB6aQEoZAm4DzFR2ODtc2EMI5AhRcwcuBKaSEIdAm4HxFh6PDtQ2EcI4ABVfwcmAKKWEItAk4X9Hh6HBtAyGcI0DBFbwcmEJKGAJtAs5XdDg6XNtACOcIUHAFLwemkBKGQJuA8xUdjg7XNhDCOQIUXMHLgSmkhCHQJuB8RYejw7UNhHCOAAVX8HJgCilhCLQJOF/R4ehwbQMhnCNAwRW8HJhCShgCbQLOV3Q4OlzbQAjnCFBwBS8HppAShkCbgPMVHY4O1zYQwjkCFFzBy4EppIQh0CbgfEWHo8O1DYRwjgAFV/ByYAopYQi0CThfLdLhXl5eNre3t5urq6u3n+vr683z8/OHhY6ax8fHD/fjImIxR8wV+nzonp7x8PCQb099dmCmJjhj8evr6+b+/v49V+IZ54jH/TiCb74Xn8ecZU0ee8Z4PrV056tFCi7APz09vS82EpOLTsWmhEUxxv1xjOYZCy70v//++7sZNF/o9zkcmH3mWcsYFaHyo+ucn3GvwV5FJv2++RjnPtdr56tFCm4EpIJQAuOs5EibE6ZYnCPJY8Hl+/occ3Z00uezA5PvX9rnkXnk7+7u7j/fUsQlXoA3Nzcf7scc+SUr7SWdna+OWnCRhOrtNyZZianiuq+zK2Ld23V2YHaNWet95Ucvx9invoHoK+X4YnMvO71kI3+XejhfHaXgctG4hEZCQuPeiHlslbhqzko/xh2YUXMp17t4i3XOlXvZqeBy4V4KQ+3T+WrxghP4SGQcuh4T8ZmCcwnXpjtnB6Yzbm0aFdOYm3GfYw7drwOjZpzjEq6drxYtOAddSR1/oa7erFVcCQtzjF9xdK97dmC6Y9ek67Icc+jGKfd60a6JU3cvzleLFZyAu7dlxA7xRxOX6C6MrHNg8v1L+LwtX+P+Ry1/NBkJ/XvtfLVIwemXbFdssZTxvq7d27DqcNEhP9vZhMmB0b1LOW97ef348eMDhpG9Op5eoroev8V8mOQCLpyvDl5wevvpL1r5nBOgItN9V2yRE1dwYQ6Ny+f8i/xMPh2YmfHnrlUu3AtSxZM5q7DyvkddznXWXdJn56uDF9w5AnVgznEfrPm0CDhfUXD84+XTcumKVkPBFcl0YAopYQi0CThf0eHocG0DIZwjQMEVvByYQkoYAm0Czld0ODpc20AI5whQcAUvB6aQEoZAm4DzFR2ODtc2EMI5AhRcwcuBKaSEIdAm4HxFh6PDtQ2EcI4ABVfwcmAKKWEItAk4X9Hh6HBtAyGcI0DBFbwcmEJKGAJtAs5XdDg6XNtACOcIUHAFLwemkBKGQJuA8xUdjg7XNhDCOQIUXMHLgSmkhCHQJuB8RYejw7UNhHCOAAVX8HJgCilhCLQJOF/R4ehwbQMhnCNAwRW8HJhCShgCbQLOVzs7XAziBwZ4YD8PjNW5s+DGAWu8dm+iNe6TPR2XgPMVBcfvcMd14QU9jYIrku3AFFLCEGgTcL6iw9Hh2gZCOEeAgit4OTCFlDAE2gScr+hwdLi2gRDOEaDgCl4OTCElDIE2AecrOhwdrm0ghHMEKLiClwNTSAlDoE3A+YoOR4drGwjhHAEKruDlwBRSwhBoE3C+osPR4doGQjhHgIIreDkwhZQwBNoEnK/ocHS4toEQzhGg4ApeDkwhJQyBNgHnKzocHa5tIIRzBCi4gpcDU0gJQ6BNwPmKDkeHaxsI4RwBCq7g5cAUUsIQaBNwvqLD0eHaBkI4R4CCK3g5MIWUMATaBJyv6HB0uLaBEM4RoOAKXg5MISUMgTYB56tFOtzLy8vm9vZ2c3V19fZzfX29eX5+/rDQUfP4+PjhflxELOaIuUJfHQ8PDxv3jEo/xh2YUbP266enp/d8BfO4zkcnX5EH5fz+/n7z+vqap7i4z85XixRcgM8Ji8LJBaHkqciiGOP+OEbzbCu4mCOSe3d395+i7mbYgemOXYMuGGbGYz46+Ypcqcii0OJzxC75cL5apOBGyGPCVCT5DZgTlsdHEWYz5HthjCi00Nzc3FBwGU7z85gbDcv52JWvyMPIP3KSX7Ka95LOv7zgIgnV268qrCouo8R9l/CZxDowM+PPWZs55n2o6/38+dN2q5wXaWMuHdW8un8JZ+ero3S4nBwVXCQpH6Fxb8Q8NuvjDaw5KLhMZv5zsMzfIlQsEVPBibVmz/mKe/o6qfuaYxyn+5dw/iUFJ/CRoDh0PSYiJzAnwxXcmGAKLhOb/6yXoP7gEYX25cuXtyKKgovrbfnKXz/19CrPun8J56MXnIOu5EaS8uEKK+6Pcc0pc4zncd78jOqzA1NpLyEuxsGyk68oxtwhg5HmiPxd6uF8tdhXSgEf34wBf+xQEXNvyYiPBeeSR4dzVPaPRX7y1/td+XL8I295jv1Xc74jj1ZwkYCA7Yot8I33de3ehhTccQ0XL7741pBzofwon7qWRl1Qv8fpep9vG8fd7bJPO0rBqbONX/XiOidASZNOyRsRUHAjkcNf51yoaManZM1YkKFVkSmfOdfjXJdyfZSCO0eYDsw57oM1nxYB56vFfoc7ra1vX40Ds30EdyGwm4DzFQXH/y2w2zko9iJAwRXYHJhCShgCbQLOV3Q4OlzbQAjnCFBwBS8HppAShkCbgPMVHY4O1zYQwjkCFFzBy4EppIQh0CbgfEWHo8O1DYRwjgAFV/ByYAopYQi0CThf0eHocG0DIZwjQMEVvByYQkoYAm0Czld0ODpc20AI5whQcAUvB6aQEoZAm4DzFR2ODtc2EMI5AhRcwcuBKaSEIdAm4HxFh6PDtQ2EcI4ABVfwcmAKKWEItAk4X9Hh6HBtAyGcI0DBFbwcmEJKGAJtAs5XdDg6XNtACOcI7FVwMYgfGOCB/Twwligdjg43eoLrAxHYq8Md6NknPY0Dc9ILZnFnQcD5ig5HhzsL857jIim4ImsOTCElDIE2AecrOhwdrm0ghHMEKLiClwNTSAlDoE3A+YoOR4drGwjhHAEKruDlwBRSwhBoE3C+osPR4doGQjhHgIIreDkwhZQwBNoEnK/ocHS4toEQzhGg4ApeDkwhJQyBNgHnKzocHa5tIIRzBCi4gpcDU0gJQ6BNwPmKDkeHaxsI4RwBCq7g5cAUUsIQaBNwvqLD0eHaBkI4R4CCK3g5MIWUMATaBJyv6HB0uLaBEM4RoOAKXg5MISUMgTYB5ys6HB2ubSCEcwQouIKXA1NICUOgTcD5ig5Hh2sbCOEcgaMV3MvLy+b29nZzdXX19nN9fb15fn7+sNpR8/j4+OF+XEQs5oi5Qu+Op6en9+e4OdyYMebAjJq1XWf+jlu+HzkYNZm78nx/f795fX19R/Xw8PCem/Heu2jFH5yvFulwAToSoiOSlYtOyVQSoxjj/jhG87iCi8RGEg+RSAdGa1/jOfjf3d1tvn///sZPedBeZ/KjMeM5cqfcKFcRu6TD+WqRghuhjgmMBCsZ0uYEKRbnKEJXcKEfjZLHzXx2YGbGn6tWhTBy7ORnG/94gd7c3Hz4VhN5zC/dc2U2s27nq6MWXEBXkse3XVVYLh4JjTf0t2/f3r+yfCaZDswM2HPVKhe54BTblh9p9FUyzpEnHTHf+JLUSzfrpF/r2fnqKAWXi0bJykkO4KFxRZPHKjExNpKcTRGfxyRLv+vswOwas4b7LhcuFnut8hP3lA/lNM7jNxgVnDRr4LdrD85XixecQEfC4tD1CL5KqCu4KK5DJtSB2QVzDfddcc3mRxxyTvJn3a/m1f01np2vFi04B1lJjqTkwxVW3HfxQyfUgclrW+tn5SK//BTr5kdsYg59w8ifdV9eiHxeyuF8tVjBCXBOpkBHbOxQrohC7wrOxfS8fRLqwGitaz6ruMYczeRHfHL++KPJv1ScrxYpOP2Zf0ykkjPe17UrFldcMkp+C+eE6zndswPTHXvOOnEc86R8KK5r5SdebjFWR8TzH040r16qus750tg1n52vDl5w6jT5L1j6nIEribqnZI4JcAUXGiVR45XccXzn2oHpjDt3jRiqsPJ+tuUn9OIeZ/fHLs0tXc59fs6aPztfHbzgzhGgA3OO+2DNp0XA+YqC499SnpZLV7QaCq5IpgNTSAlDoE3A+YoOR4drGwjhHAEKruDlwBRSwhBoE3C+osPR4doGQjhHgIIreDkwhZQwBNoEnK/ocHS4toEQzhGg4ApeDkwhJQyBNgHnKzocHa5tIIRzBCi4gpcDU0gJQ6BNwPmKDkeHaxsI4RwBCq7g5cAUUsIQaBNwvqLD0eHaBkI4R4CCK3g5MIWUMATaBJyv6HB0uLaBEM4RoOAKXg5MISUMgTYB5ys6HB2ubSCEcwQouIKXA1NICUOgTcD5ig5Hh2sbCOEcAQqu4OXAFFLCEGgTcL7a2eFiED8wwAP7eWCszq0FN4q5hgAEPkeAgvscP0ZDYIoABTeFCzEEPkeAgvscP0ZDYIoABTeFCzEEPkeAgvscP0ZDYIrA/wEilPxnr+M5VQAAAABJRU5ErkJggg==[/img][br]If this relationship is graphed with the year on the horizontal axis and the amount in dollars on the vertical axis, what is the vertical intercept?[/size][/size]
[size=150][size=100]What does it mean in this context?[/size][/size]

IM 8.3.6 Practice: More Linear Relationships

Explain what the slope and intercept mean in each situation.
[size=150][size=100]A graph represents the perimeter, [math]y[/math],  in units, for an equilateral triangle with side length [math]x[/math] units. The slope of the line is 3 and the [math]y[/math]-intercept is 0.[/size][/size]
[size=150][size=100]The amount of money, [math]y[/math],  in a cash box after [math]x[/math] tickets are purchased for carnival games. The slope of the line is [math]\frac{1}{4}[/math][/size][/size] and the [math]y[/math]-intercept is 8.
The number of chapters read, y, after x days. The slope of the line is[math]\frac{5}{4}[/math] and the y-intercept is 2.
The graph shows the cost in dollars, [math]y[/math], of a muffin delivery and the number of muffins, [math]x[/math], ordered. The slope of the line is 2 and the [math]y[/math]-intercept is 3.
Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation.
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[/img][br]What does the slope of the line shown by the points mean in this situation?
[size=150][size=100]What does the vertical intercept mean in this situation?[/size][/size]
[table][tr][td][size=150]The graph shows the relationship between the [br]number of cups of flour and the number of cups [br]of sugar in Lin’s favorite brownie recipe.[/size][/td][td][size=150]The table shows the amounts of flour and [br]sugar needed for Noah’s favorite brownie [br]recipe.[/size][/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][size=150][size=100]Noah and Lin buy a 12-cup bag of sugar and divide it evenly to make their recipes. If they each use all their sugar, how much flour do they each need?[/size][/size]
[size=150][size=100]Noah and Lin buy a 10-cup bag of flour and divide it evenly to make their recipes. If they each use all their flour, how much sugar do they each need?[/size][/size]

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