Write The Equation For A Proportional Relationship Problems

<p>The graph below shows the amount of dog food that is needed in a week (`y` pounds) to feed the dogs (`x`) in a shelter. </p> <linegraph data-props='{"options":{"x_min":0,"y_min":0,"y_max":120,"x_max":8,"cell_size":35,"x_interval":1,"y_interval":30,"x_label":"Number of Dogs","y_label":"Amount of Dog Food (pounds)","title":"Dog Food Needed by a Shelter","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":30,"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":120,"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>A recipe for a strawberry milkshake requires some number of strawberries per cup of milk. The graph below shows the number of strawberries needed (`y`) for milk used (`x` cups).</p><linegraph data-props='{"options":{"x_min":0,"y_min":0,"y_max":18,"x_max":6,"cell_size":40,"x_interval":1,"y_interval":3,"x_label":"Amount of Milk (cups)","y_label":"Number of Strawberries","title":"Strawberry Milkshake 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":1,"y":3,"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":6,"y":18,"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 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>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>Joshua is paid `$162` for `9` hours of work. The wages he earns are directly proportional to the time that he works.</p><p>Write an equation representing the relationship between the amount of time Joshua works (`x` hours) and the wages he earns (`y` dollars).</p>