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 hours7 hours
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.