Question

A bike rental shop charges a one-time fee of $8 plus $3 per hour to rent a bike. If Dan paid $24.50, how many hours did he rent a bicycle?

A. 3 hours
B. 4 hours and 45 minutes
C. 5 hours and 30 minutes
D. 8 hours

Answer 1

Dan rented the bicycle for 5.5 hours, which is 5 hours and 30 minutes, as calculated by creating a linear equation with the given costs and total amount paid. Therefore, the correct answer is C. 5 hours and 30 minutes.

Step-by-step explanation:

To find out how many hours Dan rented a bicycle, we need to create a linear equation based on the information given. The bike shop charges an one-time fee of $8 plus $3 per hour. If Dan paid $24.50, we set up the equation as:

Total Cost = One-Time Fee + (Cost per Hour × Number of Hours)

So, substituting the known amounts:

$24.50 = $8 + ($3 × Number of Hours)

Now we solve for the Number of Hours:

• Subtract the one-time fee from the total cost: $24.50 - $8 = $16.50
• Divide the remaining amount by the cost per hour: $16.50 / $3 = 5.5

Dan rented the bike for 5.5 hours, which is equivalent to 5 hours and 30 minutes.

Therefore, the correct answer is C. 5 hours and 30 minutes.