To write an equation for the bike rental shop's charges, we can represent the total amount paid as the sum of the fixed fee and the hourly rate multiplied by the number of hours rented.
The equation can be expressed as:
\[ \text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Number of Hours}) \]
Given:
- Fixed Fee = $11
- Hourly Rate = $9 per hour
- Total Cost = $56
So the equation can be set up as:
\[ 56 = 11 + 9x \]
Where \(x\) is the number of hours he rented the bike.
Now, let's solve the equation for \(x\):
- Subtract the fixed fee from both sides:
\[ 56 - 11 = 9x \]
\[ 45 = 9x \]
- Now, divide both sides by 9 to isolate \(x\):
\[ x = \frac{45}{9} \]
\[ x = 5 \]
Therefore, Steve rented the bike for 5 hours.