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)

Answer 1

The algebraic expression given is \( 2.5x + 10 \).

In this expression:

• The term \( 10 \) represents the entry fee for the car.
• The term \( 2.5x \) represents the individual entry fees for Julio and Ashley, where \( x \) might represent the number of people (or in this context, since it’s for two people, it can specifically mean the individual fee for each person multiplied by 2).

Here’s a breakdown of the interpretation of the parts:

• \( 10 \): This is the fixed entry fee for the car.
• \( 2.5x \): This represents the variable cost dependent on the number of people. If \( x = 2 \) (the two people), then \( 2.5 \times 2 = 5 \), representing the total cost of their individual entry fees.

So, if you're looking for an accurate interpretation of a part of the algebraic expression, you could choose:

• "The \( 10 \) represents the fixed entry fee for the car."

This interpretation accurately describes a component of the expression.