Julio and Ashely went to the drive in theater . They payed the entry fee for the car and individual fees for themselves There total cost can be modeled by the expression 2.5R+10. Which of the fallowing answer choices accurate interprets a part of the algebraic expression.

A. the entry fee for the car was $12.50

B. the entry fee for the car was $2.50

C. The entry fee for the individual was $10.00

D. The entry fee for the car was $10.00

1 answer

To interpret the expression \(2.5R + 10\), we need to identify the components of the expression:

  • The term \(2.5R\) represents the individual fees for Julio and Ashley, where \(R\) is the number of individuals. In this case, we can infer that \(R\) represents the number of people (which is likely 2 for Julio and Ashley). Therefore, if \(R = 2\), the total cost for the individuals is \(2.5 \times 2 = 5\).

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

Given this breakdown:

  • The entry fee for the car is $10.00.
  • The individual fee is $2.50 per person.

Now, looking at the answer choices:

A. The entry fee for the car was $12.50 — Incorrect
B. The entry fee for the car was $2.50 — Incorrect
C. The entry fee for the individual was $10.00 — Incorrect
D. The entry fee for the car was $10.00 — Correct

Thus, the correct answer is D. The entry fee for the car was $10.00.