Write Equations Of Proportional Relationships

<p>Max wants to make a barbeque pit in his backyard. He mixes `11 2/3` pounds of sand with `5` pounds of portland cement to make concrete. The amount of sand used is directly proportional to the amount of portland cement.</p><p> Write an equation to describe the relationship between the amount of portland cement (`x` pounds) and the amount of sand (`y` pounds).</br><highlight data-color="#666" data-style="italic">Write your answer using simplified fractions or mixed numbers.</highlight></p>

<p>The weight of an object on the Moon is directly proportional to the object's weight on Earth. A stone that weighs `100` pounds on the Earth will weighs`16 1/2` pounds on the Moon.</p><p>Write an equation to describe the relationship between the object's weight on the Earth (`x` pounds) and the object's weight on the Moon (`y` pounds).</p>

<p>The following table shows a proportional relationship between the weight of lemon candies, in pounds, that were purchased and the cost, in dollars, of the candies. </p><tableuiv2 data-props='{"headers":[{"type":"text","text_color":"#080808","value":"Weight of Candy (`x` pounds) "},{"type":"text","value":"Cost (`y` dollars)","text_color":"#080808"}],"rows":[[{"value":"`2/3`"},{"value":"`14`"}],[{"value":"`4/3`"},{"value":"`28`"}],[{"value":"`8/3`"},{"value":"`56`"}]]}'/> /> => </tableuiv2><p>Write an equation to describe the relationship between the weight of the lemon candies that were purchased (`x`) and the total cost (`y`). </p>

<p>Sugar syrup is made by mixing together sugar and boiling water. The amount of boiling water needed (`y` liters) is directly proportional to the amount of sugar (`x` cups). </p> <linegraph data-props='{"options":{"x_min":0,"y_min":0,"y_max":16,"x_max":8,"cell_size":35,"x_interval":1,"y_interval":4,"x_label":"Amount of Sugar (cups)","y_label":"Amount of Water (liters) ","title":"Sugar Syrup Recipe","x_axis_name":"x","y_axis_name":"y"},"points":[{"id":0,"x":0,"y":0,"show_point":false,"highlight_point":false,"show_coordinates":false,"show_x_intercept":false,"show_y_intercept":false,"x_coordinate_highlight":true,"y_coordinate_highlight":true,"show_x_intercept_point":false,"show_y_intercept_point":false},{"id":1,"x":2,"y":4,"show_point":false,"highlight_point":false,"highlight_point_color":"#A3A3B3","show_coordinates":false,"x_coordinate_highlight":true,"y_coordinate_highlight":true,"show_x_intercept_point":false,"show_y_intercept_point":false,"show_x_intercept":false,"show_y_intercept":false},{"id":2,"x":8,"y":16,"show_point":false,"highlight_point":false,"highlight_point_color":"#A3A3B3","show_coordinates":false,"x_coordinate_highlight":true,"y_coordinate_highlight":true,"show_x_intercept_point":false,"show_y_intercept_point":false,"show_x_intercept":false,"show_y_intercept":false}],"line_segments":[{"first_point_id":0,"second_point_id":2,"show_start_arrow":false,"show_end_arrow":true,"highlight_line":"#A3A3B3"}]}'></linegraph> <p>Write an equation that represents the proportional relationship in this graph, for `y` in terms of `x`.</p>

<p>The following table shows a proportional relationship between the amount of gas used, in gallons, and the distance traveled, in miles, by a tractor-trailer. </p> <tableuiv2 data-props='{"headers":[{"type":"text","text_color":"#080808","value":" Gas Used (`x` gallons) "},{"type":"text","value":"Distance Traveled (`y` miles)","text_color":"#080808"}],"rows":[[{"value":"`2`"},{"value":"`10`"}],[{"value":"`4`"},{"value":"`20`"}],[{"value":"`7`"},{"value":"`35`"}]]}'/> /> => </tableuiv2> <p>Write an equation to describe the relationship between the amount of gas used (`x`) and the distance traveled (`y`). </p>

<p>The following table shows a proportional relationship between the time snow has been falling and the amount of accumulated snow. </p><tableuiv2 data-props='{"headers":[{"type":"text","text_color":"#080808","value":"Time (`x` hours)"},{"type":"text","value":" Accumulated snow (`y` inches)","text_color":"#080808"}],"rows":[[{"value":"`2`"},{"value":"`3`"}],[{"value":"`6`"},{"value":"`9`"}],[{"value":"`8`"},{"value":"`12`"}]]}'/><newline></newline> /> => </tableuiv2><p>Write an equation to describe the relationship between the time snow has been falling (`x` hours) and the amount of accumulated snow (`y` inches).</p>

<p>Maisie went to the market to buy cantaloupes. She bought `6` cantaloupes for `$24`. Each cantaloupe costs the same amount of money.</p><p>Write an equation to describe the relationship between the number of cantaloupes Maisie bought (`x`), and the amount of money that she paid for them (`y` dollars).</p>