Question

Liam is organizing a charity car wash. He plans to charge $14 per car wash as well as a one-time fee of $5 to cover supplies. Fill in the expression with the correct numbers to represent the given scenario . Let w represent the number of car washes a customer purchases The total cost for 10 washes is 145 29 19 14 5

Answer 1

To represent the total cost for the car washes as an expression, we can break it down as follows:

1. The cost per car wash is $14.
2. The one-time fee for supplies is $5.
3. 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.