IM 7.2.4 Practice: Proportional Relationships and Equations

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values.
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, [math]d[/math], to the number of hours flying, [math]t[/math], is [math]t=\frac{1}{500}d[/math]. How long will it take the airplane to travel 800 miles?
Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.[br][br][img]data:image/png;base64,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[/img][br][br]Constant of proportionality:[br]Equation: [math]P=[/math]
Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAEVCAYAAADq/mtOAAAUdklEQVR4Ae2dC9BV0xvGS6JEhS4iTYSMksZ1KqMYQ+VLIU3G5ZtUSEyDhkR9mEJoUGLoxpjURE1JjUu5ppFLRpFISUVySeQSXd7/PGv+68z+9nf2e/ZZZ+211mneNXPmnL3X7X3e397r7PPVPKsWSSm7DNQqu4glYBJoZXgRCDSBVoYZKMOQ2TvtoDq1SV7+cpB0PRWEltQxpPO4sPa1wmkSaIHSFmiBguHCEmhcdgKtE2iBguHCEmhcdgKtE2iBguHCEmhcdgKtE2iBguHCEmhcdgKtE2iBguHCEmhcdgKtE2iBguHCEmhcdgKtE2iBguHCEmhcdgzq9u7dS3hlWYKEVlVVRaNHj1avUsVzAksdW/ffs2cPLV++nIYPH059+vShWrVq0ahRo2j79u2qyWWXXaabWnnnNHn59zRcpQDWrVs36t69e8kiOYElD05E27Zto4EDB9JJJ51ETz31FH3wwQe0a9cueumll+jUU0+lvn370iWXXGJjqtwYnCYv0BAZrtyuXbvS0KFDc4GafuAEmo6p+61YsYKaN2+u4ABUvDzxxBPqrsMdaLNwmrxBe//995XY6dOnl6yVE1jK4N9++62KERfX7t278w71ySefqDbz58/PW296ktPkFBqWRdxheE2ePFmJXbdunamuXD9OYK5RkR8QY69evVSMy5YtS+wNmPh+27RpU2IbkwpOkzNo+MIeMGAAHXDAAdS7d28aPHgwtW3b1spTGCfQJGHoM2/ePAWjR48eBWPEA4ntp0lOkxNoX3zxBXXu3Jn0UrhkyRKVkBtuuEHddaaJ1f04gbpNMe+4yyoqKlSMU6ZMKaartbacpsyh4QocNGgQnXHGGbmrEUsilpSpU6daEckJNJkAMR933HEqRhvLt0kMnKbMoW3cuFGJv+mmm3KxAxagff7557lzpXzgBJqMi6dExNemTZvEBxCMizsS7WwvjRib05Q5NP3dMGPGjFz+KisrqV27dlaWxkICc5MW8QEwcKe1bNmSjXH8+PE0cuTIIkZO39QrNAjD1fjLL7+oiHFVtm7dmoYMGUIbNmxQP7DTS8nfkhOYvwd/FjFefPHFKu733nsvb2OAbdWqldKQt0GJJzlNmd9pr776qhK/atUqJQMA8cKfsR555BGy8UXPCTTN3WeffabixF9tAEgXAP3www9V3ezZs/Vp6++cpsyhQSTuKjyNYbnBsoPvjGbNmqmHE/23u1JUcwJLGXfp0qXqT1RNmjRR8eNCwwXXqFEjmjVrVilDF+zLacocGqLDlfrjjz+qKxQQcYyrNXoFF1TBNOAEMt1SVeECw8MUlsmVK1eqv0NCQ9aF0+QEmk+BWc+d1fgCLavMZjiuQMswuVkNLdCyymyG4wq0DJOb1dACLavMZjiuQMswuVkNLdCyymyG4wq0DJOb1dACLavMZjiuQMswuVkNLdCyymyG4wq0DJOb1dACLavMZjiuQMswuVkNLdCyymyG45YEDZ3l5ScHSdcE+4+gf/31V1K/oM6XS5zFJI3TJNCKyaTDtgLNYbJtTSXQbGXS4TgCzWGybU0l0Gxl0uE4As1hsm1NJdBsZdLhOALNYbJtTSXQbGXS4TgCzWGybU0l0Gxl0uE4As1hsm1NJdBsZdLhOALNYbJtTSXQbGXS4TgCzWGybU0l0Gxl0uE4As1hsm1NJdBsZdLhOALNYbJtTSXQbGXS4Tjeof3zzz/06KOPEsyZL7jgAmXYvGPHDmsp4ASmmQROc3APgiknvLzylTQaNm/eTMOGDaNzzz2X+vXrR4sWLco3VKpznCYn/xvruuuuozPPPJMeeOABuvfee+mwww6jTp06pQo+TSNOYKH+jz32GNWrV4/OOeccdWGtWbMmb5dCGuD9ddRRRylnH1jj3n///bTffvvRggUL8o5X6CSnyQm0LVu2VHPnWbhwobIrgmuPjcIJ5MaH23f9+vVpzpw5XDNVV0gD7BAPOuggiq4gF154IfXv37/g2PkacJqcQIsHBcsleEzZMmvmBMbn1sdILu4M3GkmJa4BxmyABjt4Xc466yy1XOrjYt45TV6gvfnmmwra119/XYyOxLacwKRO+O5q2LCh8tbH9yyM1q6++mrCHZWmxDX8/PPPdOyxx6p9BrCCjB07VlkkmmrkNHmBdt555xGWDluFE5g0x3333UcHH3ywSvLrr79OkyZNomOOOYbat2+vXPKS+unz+TTAqxnG2toecebMmbp50e+cJufQxowZQ40bN6a1a9cWLSSpAycwqQ++a3Bn4KlQFyQZCV+8eLE+lfc9nwZsunDkkUfSiBEj6LvvvlOOqwceeKB6uMk7SIGTnCan0OAWDiG4sm0WTmDSPHAqx6N5tOAJENA449AkDVhau3TpEh1OLbf43jSxGuQ0OYOmxdp6+IhmhxMYbRf9jOXw0EMPpb///jt3WrvAvvXWW7lz0Q+chhNPPJGuv/76aHN6/PHHqU6dOvTnn39WO5/mgNPkBBquXAQ/btw45RAOl3C8vv/++zTxF2zDCUzqjD5HHHEE4fcXPuP7CNuTdOjQQTmEY2cL+Bg/99xzaohCGm6++WZ1EcDIE+Wrr75S5to9e/ZMCoE9z2nKHNq///5LtWvXzn056y9pvGOnJBuFE8iNjwunY8eOVLduXfVDGMsb9pdBgU0vfsPh7kmjAXcs9GAsbCgEzZdffjnhqdKkcJoyh2YScLF9OIFpxkJio7+vdJ/ffvut2h8F9HnuHYDxZ7FSY+L6CzSOgMc6geYx+aZTCzTTzHnsJ9A8Jt90aoFmmjmP/QSax+SbTi3QTDPnsZ9A85h806kFmmnmPPYTaB6Tbzq1QDPNnMd+As1j8k2nFmimmfPYT6B5TL7p1ALNNHMe+wk0j8k3nVqgmWbOYz+B5jH5plMLNNPMeewn0Dwm33TqkqChs7z85CAJuPzHnqTMeD5f0p3mOfZU03MCUw0QYCNOk9xpAQJDSAItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWAKNy06gdQItUDBcWN6hwW3u7rvvposuukg5qsJJO2qOyQWfpo4TyPXfs2cPTZw4UVm7w37+hRde4Jrn6mB2NnjwYHr66adz5/DhxRdfpMrKSuUjOWTIEOWRVa1BEQecJif/saeqqkr51D/55JM0aNAgZakOU0tbhRPIzXHppZcq72LYAz744IPKQPThhx/muqi6a665RrnNXXHFFbm2AN6qVSvlrDp+/Hg6+eSTqVGjRrR169Zcm2I+cJqcQMMVHS3wWGzQoEH0VEmfOYFJA8OIE/Z+8HnUBeCwZwA3HgyrmzZtqrwgo9BgxPn777/roZRlIPz+H3roody5Yj5wMTiBFg/29ttvp9NPPz1+2viYE5g06D333KM8jKP1cPaGD+XSpUujp3OfYTEIL0cYdmI5jULLNYp8gNvqLbfcEjmT/iOnyRk0LBMfffSR2gUDBs2vvfZaegUFWnICk7redddddMghh1T7boW/I6DNmDEjbzeYbvbu3VvVYWnloMG0E37NzzzzTN6xCp3kNDmDhmUCnsFIyoABAwgmz7YKJzBpjrffflvFAv98GGviBUtbxPfGG2/U6AYn8RYtWuScUgtBg4U8ltE//vijxlhpTnCanEHTgcJ1FPu6nHDCCdVMn3W9yTsnkBsPSyT2gzn88MOVRz8uJkCLb6jwww8/qDbR1YGDho0W4M8/e/Zsbnq2jtPkHBoiXb16tUrO3Llz2cDTVnICC43x008/0bJlywhLI54cYUYdL9jUCDDxYKFfgA0zbRxHDbQ//fRTte8A+pRSOE1eoH3zzTcqCdigx0bhBKYdf/369eoRHTbu8YKlHO7f0Re2OqmoqFDndu3apboAGJ4+8aBVauE0OYGGHY++/PJLZZ0ON24IxhX966+/lqpN9ecEFpoAT4TTpk2jZs2aUZ8+fXLN4xbvuYr/f4gvjx9//LEChocVbWGPd9OdPjhNmUPDb7QePXqo7w4sKfht1LlzZ8JVaatwArk58BcaLHvYX2bChAnVdqqIWrznGyMODZowVvzVpk2bfN0LnuM0ZQ5NR7dz507CsmiyG4QeI+mdE5jUB+c3bdrEPsWaWLxz8xVTx2lyBq2YgIttywksdqxQ2nOaBFoolGJxCLRYQsrhUKCVA6VYjAItlpByOBRo5UApFqNAiyWkHA4FWjlQisUo0GIJKYdDgVYOlGIxCrRYQsrhUKCVA6VYjAItlpByOBRo5UApFqNAiyWkHA4FWjlQisUo0GIJKYdDgVYOlGIxCrRYQsrhUKCVA6VYjCVBQ2d5+clBjGPuUP6PSC4VYX0o6U4LS0r+aDiB+XuEf5bTJHdaoPwEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLAEGpedQOsEWqBguLCCgAb72WuvvbbaC95UNgonsND4MIuGC+rw4cNrNIUrajxmuK/mK88//3yNtugLk22Twmly9h97GjZsSP3796ehQ4fmXlFzSxNhug8nULfJ975gwQJq0qSJck09+uijazRZsWKF8iGOxpzk5QhP/mHDhlV7wea9bF3o4OsISz14K2ZRTKEtXLiQ5s+fT9jcIR+0OXPmULt27YxCxmYR8LScNGmSUX9Ok5M7DS7hjRs3Ngo+TSdOYJr+SdBgjxs17kwzlm6DjSNg/AnXcJPCaXICDQbM2A0CyyO+ExYvXmyiI7EPJzCxU6QiCdqNN96oDLJh5T5y5EjlDhvplvgR9ritW7emMWPGJLYpVMFpcgINxs64auHO3b17d7VUYu8ZW4UTmGaOJGizZs0ibEEyYsQItQ0JfPaxpBYqzz77rPL8h8mnaeE0OYEWDxzbg+A7DtbpNgonMM34SdCifffu3Us9e/aktm3bRk/X+Az7X+x8cdttt9WoK+YEp8kLNMACNHzR2yicwDTjp4GGcbAJEOLmDLPxVQBP/lKfjDlNXqAtX75ciccDio3CCUwzflpo48aNU8tefMOj6BwdO3akgQMHRk8ZfeY0OYEG/338kIZY/Pbp0KGD2gWDE1+MUk5gmnHyQcNTH+6abdu20X///Ucvv/yyepjCHwl0GT16tHqw0sf4voMj+po1a/Qp43dOU+bQAObss89WdxYE1a1bl6688krCzhO2CicwzRz5oGHjBDwBYjlE3NhMCLta6I0TMC5s3aPfcTiG9buNwmnKHJoWAGt3WLxjIx7bhRNY6lzY/WLDhg3VPPv1mPgBndXc3LjOoGmhWbxzArOYz8WYnCaB5oKAwRwCzSBpvrsINN8EDOYXaAZJ891FoPkmYDC/QDNImu8uAs03AYP5BZpB0nx3EWi+CRjML9AMkua7i0DzTcBgfoFmkDTfXQSabwIG8ws0g6T57iLQfBMwmF+gGSTNdxeB5puAwfwCzSBpvrsINN8EDOYvCRo6y8tPDpJYy/8RScqM5/Ml3WmeY081PScw1QABNuI0yZ0WIDCEJNACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOFJdC47ARaJ9ACBcOF5QUajMymT5+ubM/zmZdt3LhROWuff/75dMcdd1BWLqRJiYHp5ty5c6myspK6du1KV111FcHSMF4K6Yi318ejRo2iW2+9VR8W/e4c2tq1a6l9+/bKOh0ubuvWrasW9ObNm5U7d69evWjKlCl0yimn0GmnnWZsdsYJrDZx5GDHjh3KARUWvbC8RQww11y9enWuVSEduYaxD9OmTVNuey1atIjVpD/kNGXyv7Hg2gbP4nfeeUdZ78Wh3XnnnXT88cfTzp07lYr169dTnTp1CL6QJoUTyI0X9ZvEhQSLQMStSyEdul30HSsITLZh1FlW0LQIGE7nu9NatmxJWD6ipVOnTgRXbpNiCi06F3bCgBflK6+8Ej2tPifpiDfEkovlHkvtxIkT9x1o8EgESLiWRgu2+IDJpUkpBdqqVasUqC5dulDfvn3zLtFpoWHjhFatWtH27dtpwoQJ+w40LJWAtmTJkmp84K6NJdOkmELD8oglDHcY3vPdZYgnDTQYkMJ99d1331US9iloW7ZsUdAWLVpUjQ82LsDDiEkxhabngsXt5MmTaf/991cPRvq8fi8EDfBxp2LDBV32KWhY93FlT506VetT7/D+raioqHYu7UGp0PQ8/fr1U6bY+li/F4KmH7iw2UK9evXUCxcAVhQcz5w5Uw+V+p3TlMnTo44sSWy3bt3UFia6Ha5U7K4UfXLTdWneOYFp+us2eIDAT5V4SdKh22F+GFVHX9jho2nTpuoctvQqtnCavEDDj1pciVgiYUSNnwANGjQw3vWJE5iUrJUrV9K8efPUj3rYuWOLEvxOGzt2bI0uSdDiFu/RjvvU8qiFYeuS+vXrq0ThiQuJMS0m0LAFV/PmzdUSht9n2N+tqqqKdu/eXSOMJGhxi/dox7KFFhWR7zPuMvyoLbWYQNNzbt26lfCDGN+1xRaxeC82Y5H2pUCLDBPUR05Tpt9prrLACXQVg+15OE0CzXa2LY0n0Cwl0uUwAs1lti3NJdAsJdLlMALNZbYtzSXQLCXS5TACzWW2Lc0l0Cwl0uUwAs1lti3NJdAsJdLlMALNZbYtzSXQLCXS5TACzWW2Lc0l0Cwl0uUwAs1lti3NJdAsJdLlMALNZbYtzSXQLCXS5TAlQUNnefnJQdJFwv53g6ROct5vBgSa3/wbzS7QjNLmt5NA85t/o9n/ByGQgA5Qb75uAAAAAElFTkSuQmCC[/img][br][br]Constant of proportionality:[br]Equation: [math]C=[/math]
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.
Here is a polygon on a grid.
Draw a scaled copy of the polygon using a scale factor 3. Label the copy A.[br]Draw a scaled copy of the polygon using a scale factor [math]\frac{1}{2}[/math]. Label the copy B.[br][br]Is Polygon A a scaled copy of Polygon B? If so, what is the scale factor that takes B to A?
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Information: IM 7.2.4 Practice: Proportional Relationships and Equations