To find the total cost for 10 car washes, we can express the total cost as follows:
- The one-time fee for supplies is $5.
- Each car wash costs $14, and if a customer purchases \( w \) car washes, the cost for the washes is \( 14w \).
For 10 washes specifically, we substitute \( w \) with 10:
\[ \text{Total Cost} = \text{One-time fee} + \text{Cost of washes} \] \[ \text{Total Cost} = 5 + 14 \times 10 \]
Now, calculate the cost of 10 washes:
\[ 14 \times 10 = 140 \]
Now add the one-time fee:
\[ \text{Total Cost} = 5 + 140 = 145 \]
Thus, the total cost for 10 washes is $145.