Question

The number of passengers on a certain bus at any given time is given by the equation P = –2(S – 4)2 + 32, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, what is the value of S when the bus has its greatest number of passengers?

Answer 1

Answer: S = 8

Explanation:

If the bus begins its route with no passengers, that is P = 0

P = –2(S – 4)2 + 32 = 0

(- 2S + 8)4 = - 32

-8S + 32 = - 32

-8S = - 64

S = 64/8 = 8

The value of S when the bus has its greatest number of passengers?