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?

Question

Each individual entry fee was $10.00.
The entry fee for the car was $12.50.
The entry fee for the car was $2.50.
The entry fee for the car was $10.00.

Answer 1

The expression 2.5x + 10 can be broken down as follows:

• The "2.5x" part represents the total individual entry fees for the two people (Julio and Ashley), where "x" is the individual entry fee for each of them. Since there are two people, it can be expressed as 2 times the individual entry fee (2x).

• The "+10" part represents the fixed entry fee for the car.

If we consider that "x" represents the individual entry fee, we can solve for it using the provided total costs:

1. If we analyze the expression and the context, "x" appears to be $5.00, because substituting 5 for x gives us: \( 2.5(5) + 10 = 12.50 + 10 = 22.50 \) (this corresponds to $2.50 each for 2 people, leading to $10 in total for them and $10 for the car entry).

2. However, if "x" is understood to be $10.00 each (which is not the case as shown):

   • If "x" is $10, \( 2.5(10) + 10 = 25 + 10 = 35 \), not aligning with individual entry fee interpretations.

Given this, we interpret the expression as follows:

• The total cost for the car is 10, which suggests that the entry fee for the car is indeed $10.00.

Thus, among the given answer choices, the correct interpretation is: The entry fee for the car was $10.00.