Suppose a cookie company has found that the number of cookies it sells is inversely proportional to the price of each cookie. If it sells 50 cookies per day when the price of each cookie is $4, how many cookies would it sell per day if the price of each cookie were $2?

Step-by-step explanation:

The inverse proportional formula is

where y is the number of cookies sold, and x is the price per cookie. If we fill in the info given, we can find what it is we are being asked.

When x = 4 (the price of each cookie is $4), 50 cookies are sold (y = 50). Filling in to solve for k:

so

k = 200. Using that value of k along with a price of 2 (x = 2), we can find the number of cookies sold, y.

so

y = 100 cookies sold when the price is $2 per cookie.