Question

V(t)= 65t + 280 , were t is time , in minutes, the pump has been on. The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minute , after how long doesthis happen ?​

Answer 1

Answer: About 150 minutes

Explanation:

We will set the function equal to 10,000, since that is the volume, and then solve for t.

Given:

V(t)= 65t + 280

Substitute:

10,000 = 65t + 280

Subtract 280 from both sides of the equation:

9,720 = 65t

Divide both sides of the equation by 65:

t ≈ 150 minutes