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 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.
Answers
GPT-4o mini
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**.
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**.