Julio and Ashley went to the drive-in theater. They paid an entry fee for the car and individual entry fees for themselves. Their total cost can be modeled by the expression 2.5x+10. Which of the following answer choices accurately interprets a part of the algebraic expression? (1 point)

Question

Responses

The entry fee for the car was $2.50.
The entry fee for the car was $2.50.

Each individual entry fee was $10.00.
Each individual entry fee was $10.00.

The entry fee for the car was $12.50.
The entry fee for the car was $12.50.

The entry fee for the car was $10.00.
The entry fee for the car was $10.00.

Answer 1

The expression \( 2.5x + 10 \) represents the total cost, where \( x \) stands for the number of people (Julio and Ashley in this case) and the fees are broken down as follows:

• \( 2.5x \) indicates that each individual entry fee is $2.50.
• The \( +10 \) indicates a flat fee, which would represent the entry fee for the car.

From this breakdown, we can interpret that:

• The entry fee for the car was $10.00 (the constant term in the expression).
• Each individual entry fee was $2.50 (the coefficient of \( x \)).

Thus, the correct interpretation from the choices would be:

The entry fee for the car was $10.00.