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)

Responses

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

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

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

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

1 answer

The expression \(2.5x + 10\) can be broken down into its components:

  • \(2.5x\) represents the individual entry fees for Julio and Ashley, where \(x\) is the number of people (in this case, 2 since there are two people).
  • \(10\) represents the total entry fee for the car.

To interpret the components correctly:

  • Since \(x\) is typically the number of individuals and here it's 2 (for Julio and Ashley), the \(2.5\) in front of \(x\) indicates that each individual's entry fee is $2.50.

Based on this interpretation, the correct choice would be:

Each individual entry fee was $2.50.