Question

Matthew wants to rent a scooter on vacation. There is a flat fee of $5 to rent the helmet and a $14 hourly rate to rent the scooter. Matthew has at most $100 to spend. How many hours can he rent the scooter?

A) 5 hours

B) 6 hours

C) 7 hours

D) 8 hours

Answer 1

Matthew can afford to rent the scooter when taking into account the $5 flat helmet fee and the $14 hourly scooter rate. The equation determining his budget is 5 + 14x ≤ 100, which results in a maximum of 6 full hours. Thus, the answer is B) 6 hours.

Step-by-step explanation:

To determine how many hours Matthew can rent the scooter, we need to calculate based on the budget and costs he will incur. The flat fee for renting a helmet is $5, and the hourly rate for renting the scooter is $14. Given that Matthew has at most $100 to spend, we can set up a linear equation to solve for the number of hours he can rent the scooter.

Let x be the number of hours Matthew can rent the scooter. The total cost of renting the scooter for x hours plus the flat helmet fee is $5 + $14x. This total cost cannot exceed his budget of $100. Therefore, the equation is:

5 + 14x ≤ 100

Now we subtract 5 from both sides of the equation to solve for x:

14x ≤ 95

Divide both sides by 14 to find the maximum number of hours Matthew can rent the scooter:

x ≤ 95 / 14

x ≤ 6.7857

Since Matthew cannot rent the scooter for a fraction of an hour, he can rent the scooter for a maximum of 6 full hours. Therefore, the correct answer to how many hours he can rent the scooter is B) 6 hours.