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?
Responses
A 3 hours3 hours
B 4 hours4 hours
C 5 hours5 hours
D 6 hours6 hours
E 7 hours
To determine the maximum number of hours that Michael can rent a bike, we need to set up an equation.
Let x represent the number of additional hours Michael can rent the bike after the first hour.
Therefore, the total cost of renting the bike for the day can be represented as:
Total cost ($50 for the first hour + $25 for each additional hour) ≤ $200
50 + 25x ≤ 200
25x ≤ 150
x ≤ 6
This means that Michael can rent the bike for a maximum of 6 additional hours after the first hour. Therefore, the maximum number of hours he can rent the bike for is 1 (first hour) + 6 (additional hours) = 7 hours.
Answer: E) 7 hours