Question

A bike rental shop charges a one-time fee of $8 plus an hourly fee to rent a bike. Dan paid $24.50 to rent a bike for 3 hours. Write and solve a mathematical statement to determine the bike shop's hourly fee, "h."

A) $4.50
B) $5.50
C) $6.50
D) $7.50

Answer 1

To find the bike shop's hourly fee 'h', start with the equation 8 + 3h = 24.50. Subtract the one-time fee from the total cost and divide by the number of hours to get h = 5.50. Therefore, the hourly fee is $5.50.

Step-by-step explanation:

To determine the bike shop's hourly fee, which we will call h, we can set up a linear equation.

According to the problem, there is an initial one-time fee of $8, and Dan paid $24.50 for renting the bike for 3 hours. We can express this situation with the equation:

8 + 3h = 24.50

To solve for h, we need to isolate the variable on one side of the equation.

1. Subtract 8 from both sides: 3h = 24.50 - 8
2. Simplify the right side: 3h = 16.50
3. Divide both sides by 3: h = 16.50 / 3
4. Calculate the value of h: h = 5.50

Therefore, the bike shop's hourly fee is $5.50.