Bike rental shop charges an 11 dollar fixed fee plus 9 dollars an hour for renting a bike . Jessica paid 65dollars . How many hours did she pay for ?

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.