A. The amount of water in a tank t minutes after it has started to drain is given by = 100( − 15) 2 . I. At what rate is the water running out at the end of 5 minutes? Ii. What is the average rate at which the water flows out during the first 5 minutes?

a)-2000

b)-2500

Step-by-step explanation:

Given:

W(t) = 100(t-15)²

applying derivation on both sides

W'(t) = 200(t-15)

->a) At what rate is the water running out at the end of 5 minutes?

Evaluating at t=5

W'(5)= 100(5-15) =>200(-10)

W'(5)=-2000

->b) What is the average rate at which the water flows out during the first 5 minutes?

=>-2500

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x