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.

3 answers

To represent the total cost for a customer who purchases \( w \) car washes, you can use the following expression:

\[ \text{Total Cost} = 5 + 14w \]

In this expression:

  • \( 5 \) represents the one-time fee for supplies.
  • \( 14w \) represents the total cost for the \( w \) car washes, where \( 14 \) is the charge per car wash and \( w \) is the number of car washes purchased.
the total cost for 10 washes is what

To find the total cost for 10 car washes, you can use the expression we established earlier:

\[ \text{Total Cost} = 5 + 14w \]

Substituting \( w = 10 \):

\[ \text{Total Cost} = 5 + 14(10) \]

Calculating that:

\[ \text{Total Cost} = 5 + 140 = 145 \]

Therefore, the total cost for 10 car washes is $145.