A bike rental company charges $50 for the first hour, and $25 for each additional hour. Michael must spend no more than $200 on his bike rental for the day. What is the maximum number of hours that Michael can rent a bike?

Question

Responses

A 3 hours3 hours

B 4 hours4 hours

C 5 hours5 hours

D 6 hours6 hours

E 7 hours7 hours

Answer 1

To determine the maximum number of hours Michael can rent a bike for, we can set up an equation based on the cost of renting the bike.

Let x be the number of additional hours after the first hour.
The total cost C can be represented as:
C = $50 + $25x.

Since Michael must spend no more than $200, we can set up the inequality:
$50 + $25x ≤ $200.

Subtract $50 from both sides:
$25x ≤ $150.

Divide by $25:
x ≤ 6.

Therefore, the maximum number of additional hours Michael can rent a bike for is 6. Adding the first hour, Michael can rent the bike for a maximum of 7 hours.

The answer is E: 7 hours.