Write an equation and solve for x.

Question

Seawall Bike Rental Shop charges a $11 fixed fee plus $9 an hour to rent a bike. Steve paid $56 to rent a bike.



How many hours did he pay to have the bike checked out?.
hours.

Answer 1

To find out how many hours Steve rented the bike, we can set up an equation based on the information given.

The total cost \(C\) of renting a bike can be expressed with the equation: \[ C = 11 + 9h \] where:

• \(C\) is the total amount paid ($56),
• 11 is the fixed fee,
• 9 is the cost per hour, and
• \(h\) is the number of hours rented.

Now we can plug in the value of \(C\): \[ 56 = 11 + 9h \]

Next, we will solve for \(h\).

1. Subtract the fixed fee from both sides: \[ 56 - 11 = 9h \] \[ 45 = 9h \]

2. Now, divide both sides by 9 to isolate \(h\): \[ h = \frac{45}{9} \] \[ h = 5 \]

Therefore, Steve rented the bike for 5 hours.