To represent the total cost for the car washes as an expression, we can break it down as follows:
- The cost per car wash is $14.
- The one-time fee for supplies is $5.
- Let \( w \) be the number of car washes purchased.
The total cost can be expressed as: \[ \text{Total Cost} = \text{One-time fee} + (\text{Cost per wash} \times w) \] Substituting the values: \[ \text{Total Cost} = 5 + 14w \]
Now, to find the total cost for 10 washes, substitute \( w = 10 \): \[ \text{Total Cost} = 5 + 14(10) \] \[ \text{Total Cost} = 5 + 140 \] \[ \text{Total Cost} = 145 \]
So the complete expression is \( 5 + 14w \), and when \( w = 10 \), the total cost is indeed 145.