Vanessa A.

at what rate is the supply changing?

Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation.
$625p^2 - x^2 =100$
If 28000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 8¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p when x = 28, solve the supply equation for p when x = 28.)