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.

Question

_____ w + ______
The total cost for 10 washes is $______.

A) 145
B) 14
C) 5
D) 19
E) 29

Answer 1

To represent the scenario, we need to express the total cost (C) as a function of the number of car washes (w):

1. The one-time fee for supplies is $5.
2. Each car wash costs $14.

We can express the total cost as: \[ C = 14w + 5 \]

So, filling in the blanks: 14 w + 5.

Now, let's calculate the total cost for 10 washes: Using the expression \( C = 14w + 5 \) where \( w = 10 \): \[ C = 14(10) + 5 \] \[ C = 140 + 5 \] \[ C = 145 \]

Thus, the total cost for 10 washes is $145.

So the final answers are:

• The expression: 14 w + 5.
• The total cost for 10 washes is $145.