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 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

1 answer

To find the total cost for 10 car washes, we can express the total cost as follows:

  1. The one-time fee for supplies is $5.
  2. 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.