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 2.5 x plus 10. Which of the following answer choices accurately interprets a part of the algebraic expression?

3 answers

In the expression \(2.5x + 10\):

  • \(x\) represents the number of people (Julio and Ashley) for whom individual entry fees are being paid. Since there are 2 people, you would typically use \(x = 2\).
  • The term \(2.5x\) represents the total cost of the individual entry fees for the two people, with \(2.5\) being the cost per person.
  • The term \(10\) represents the fixed entry fee for the car.

So, an interpretation of a part of the expression might be:

  • \(2.5x\) indicates the total cost of the individual entry fees for the people in the car.
  • \(10\) indicates the total entry fee for the car.

If you have specific answer choices, I can help further to identify the correct interpretation from those options.

is it total or individiual

In the expression \(2.5x + 10\):

  • The term \(2.5x\) represents the total cost of the individual entry fees for all the people in the car. Specifically, it calculates the combined entry fee for each individual based on the number of individuals \(x\).
  • The term \(10\) represents the fixed entry fee for the car itself.

So, when we refer to \(2.5x\), it is the total cost for all individuals, not just an individual entry fee. If you are asked to clarify whether \(2.5x\) represents total or individual costs, the answer is that it represents total costs for the individuals in the car.