Question

Owners of a bike rental company that charges customers between 5 and 25 per day have determined that the number of bikes rented per day n can be modeled by the linear function n(p)=200-8p. What is the maximum number of bikes that can be rented per day?

1) 25
2) 50
3) 75
4) 100

Answer 1

The maximum number of bikes that can be rented per day is 160.

Step-by-step explanation:

The given linear function that models the number of bikes rented per day is n(p) = 200-8p, where p represents the price per day. To find the maximum number of bikes that can be rented per day, we need to determine the value of p that will yield the maximum value for n(p).

The given price range for the bike rental is 5 to 25 per day. We want to find the maximum number of bikes rented, so we need to find the minimum price within this range. The minimum price is 5. Plugging this value into the linear function, we get:

n(5) = 200-8(5) = 200-40 = 160.

Therefore, the maximum number of bikes that can be rented per day is 160.