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 35000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/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 = 35, solve the supply equation for p when x = 35.)

cartons per week?

1300

Step-by-step explanation:

We are given

x = 35

 [rate of change of price with time]

We want to find , which is the rate at which supply is changing.

First, we need to implicitly differentiate the equation given:

Here, we have what we need except for p. We find p when x = 35:

Now, find dx/dt:

In thousands, 1.30 * 1000 = 1300 cartons per week decrease

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: