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?

Question

Alissa Skinner

Mathematics

15 April, 18:05

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?

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Answers (1)

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Samuel Kaiser · Answer 1

Answer: S = 8

Step-by-step 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?