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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 ww represent the number of car washes a customer purchases. Response area w+w+ Response area The total cost for 10 washes is $Response area.

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To represent the total cost for the car wash, we can break it down into two parts: the one-time fee for supplies and the charge per car wash.

  1. Charge for car washes: Since Liam charges $14 per car wash and the variable \( w \) represents the number of car washes purchased, the amount charged for the car washes is \( 14w \).

  2. One-time fee: There is a one-time fee of $5 for supplies.

Therefore, the total cost (C) for \( w \) car washes can be expressed as: \[ C = 14w + 5 \]

For the expression with the correct numbers:

  • Filling in the first response area with \( w + w + 5 \) is incorrect. The correct representation is \( 14w + 5 \).

For the total cost for 10 washes:

  • Substitute \( w = 10 \) into the expression: \[ C = 14(10) + 5 = 140 + 5 = 145 \]

So, the completed responses would be:

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