Write an equation and solve for x. 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 provided.

Let's denote the number of hours Steve rented the bike as \( x \).

The total cost of renting the bike can be expressed by the equation:

\[ \text{Total Cost} = \text{Fixed Fee} + \text{Hourly Rate} \times \text{Number of Hours} \]

Given the fixed fee is $11 and the hourly rate is $9, we can substitute these values into the equation:

\[ 56 = 11 + 9x \]

Now, we will solve for \( x \):

1. First, subtract the fixed fee from both sides of the equation:

\[ 56 - 11 = 9x \]

\[ 45 = 9x \]

2. Next, divide both sides by 9:

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

\[ x = 5 \]

So, Steve rented the bike for 5 hours.