Question

You buy equal numbers of containers of tomatoes, cucumbers, and carrots. Both carrots and cucumbers are $3 less per container than tomatoes. The product of the price for each equals the total cost. What is the price for each container? Write a polynomial function to describe the cost of your purchase. Graph the function. (Let: t = cost for each tomato container)

Answer 1

Let A be the number of containers of tomatoes bought

A also will be the number of containers of cucumbers, and the number of container of carrots

A*t represents the total price paid for all tomato containers

A*(t- 3$) represents the total price paid for all cucumber containers

A*(t- 3$) also represents the total price paid for all carrot containers


Since the product of the price for each equals the total cost.

Then,

Total cost of purchase = A*t *[A*(t- 3$)]²


(The graph was made with A = 1 )