Question

I would like help I will give 5 starPart B and C

Answer 1

A. Average rate of change = -30

B. x ≥ 0

Step-by-step explanation:

Part B.

The average rate of change from x = a to x = b can be calculated as

`(f(b)-f(a))/(b-a)`

In this case, we want to calculate the average rate of change from x = 3 to x = 5, so f(3) = 120 and f(5) = 60. Then

`(f(5)-f(3))/(5-3)=(60-120)/(2)=-(60)/(2)=-30`

So, the average rate of change is -30. So, from x = 3 to x = 5, when we increase the price by $1, the profit decreases by $30.

Part C.

The domain is the set of values that the variable x can take. In this case, x is the price of the pens, so it has to be greater than or equal to 0.

Therefore, the constraints for the domain are

x ≥ 0