To find the unit rate in dollars per gallon, we need to divide the total amount of money by the number of gallons.
We have:
- Total amount = $74.75
- Total gallons = 5 gallons
The unit rate (cost per gallon) can be calculated as follows:
\[ \text{Cost per gallon} = \frac{\text{Total amount}}{\text{Total gallons}} = \frac{74.75}{5} \]
Now, calculate the division:
\[ \frac{74.75}{5} = 14.95 \]
Now we round this to the nearest whole number:
\[ 14.95 \approx 15 \]
Therefore, the estimated unit rate is \(\boxed{15}\) dollars per gallon.