To find out how many hours Steve rented the bike, we can set up the following equation based on the cost structure provided by the Seawall Bike Rental Shop:
\[ \text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Hours}) \]
Given that:
- Total Cost = $56
- Fixed Fee = $11
- Hourly Rate = $9
We can substitute these values into the equation:
\[ 56 = 11 + (9 \times \text{Hours}) \]
Now, we can solve for the number of hours. First, subtract the fixed fee from both sides:
\[ 56 - 11 = 9 \times \text{Hours} \] \[ 45 = 9 \times \text{Hours} \]
Next, divide both sides by 9 to find the number of hours:
\[ \text{Hours} = \frac{45}{9} \] \[ \text{Hours} = 5 \]
So, Steve rented the bike for 5 hours.