To find out how many hours Steve rented the bike, we can set up an equation based on the information given.
Let \( x \) be the number of hours Steve rented the bike. The total cost for renting the bike can be expressed as:
\[ \text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Number of Hours}) \]
According to the problem, the fixed fee is $11 and the hourly rate is $9. Since Steve paid a total of $56, we can write the equation as:
\[ 56 = 11 + 9x \]
Now, we will solve for \( x \):
- Subtract the fixed fee from both sides:
\[ 56 - 11 = 9x \] \[ 45 = 9x \]
- Divide both sides by 9:
\[ x = \frac{45}{9} \] \[ x = 5 \]
So, Steve rented the bike for 5 hours.