Question

Write an equation to solve for x
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?

Answer 1

To solve for the number of hours Steve rented the bike, we can set up the equation based on the information provided.

The total cost \( C \) to rent the bike can be expressed as:

\[
C = 11 + 9h
\]

where:
- \( C \) is the total cost (which is $56),
- \( 11 \) is the fixed fee,
- \( 9 \) is the hourly rate,
- \( h \) is the number of hours rented.

We know \( C = 56 \), so we substitute that into the equation:

\[
56 = 11 + 9h
\]

Now, we can solve for \( h \):

1. Subtract 11 from both sides:

\[
56 - 11 = 9h
\]

\[
45 = 9h
\]

2. Divide both sides by 9:

\[
h = \frac{45}{9}
\]

\[
h = 5
\]

Thus, Steve rented the bike for **5 hours**.