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 15000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5cents/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 = 15, solve the supply equation for p when x = 15.) cartons per week.

Question

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 15000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5cents/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 = 15, solve the supply equation for p when x = 15.) cartons per week.