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To find out how many hours Jessica rented the bike, we can set up the equation based on the rental costs.
The total cost for renting a bike can be expressed as:
\[ \text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Number of Hours}) \]
Given:
- Fixed Fee = 11 dollars
- Hourly Rate = 9 dollars
- Total Cost = 65 dollars
Now we can plug in the values:
\[ 65 = 11 + (9 \times \text{Number of Hours}) \]
Next, we can subtract the fixed fee from both sides:
\[ 65 - 11 = 9 \times \text{Number of Hours} \]
\[ 54 = 9 \times \text{Number of Hours} \]
Now, divide both sides by 9 to solve for the number of hours:
\[ \text{Number of Hours} = \frac{54}{9} = 6 \]
Therefore, Jessica paid for **6 hours** of bike rental.