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 \( h \):
- Subtract 11 from both sides:
\[ 56 - 11 = 9h \]
\[ 45 = 9h \]
- Divide both sides by 9:
\[ h = \frac{45}{9} \]
\[ h = 5 \]
Thus, Steve rented the bike for 5 hours.
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