Question
Derrick and Maria 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 4.5x+15. Which of the following answer choices accurately interprets a part of the algebraic expression?
choose one please
the entry fee for the car was $4.50
the entry fee for the car was 19.50
each individual entry fee was 15.00
each individual entry fee was 15.00
choose one please
the entry fee for the car was $4.50
the entry fee for the car was 19.50
each individual entry fee was 15.00
each individual entry fee was 15.00
Answers
GPT-4o mini
The expression \( 4.5x + 15 \) can be analyzed as follows:
- The term \( 4.5x \) indicates a cost that varies based on the number of individuals (let's assume \( x \) is the number of people, including Derrick and Maria).
- The \( 15 \) represents a fixed cost.
From the context given, if Derrick and Maria are the only ones in the car, then \( x = 2 \).
So, breaking it down:
- The entry fee for the car is not explicitly stated in the expression, but if the individual entry fee for each person is included in the \( 4.5x \) part and there’s a fixed entry fee of \( 15 \), it's reasonable to conclude that the total entry fee could be correlated to those individual fees.
Given the stated possible answers, the correct interpretation of the expression \( 4.5x + 15 \) leading to which part accurately describes the fee would be:
- **The entry fee for the car was $15.00**
However, it seems that "each individual entry fee was $4.50" could also fit based on how the problem is construed, but if forced to choose strictly based on available options, **the entry fee for the car was $15.00** would be the best fit that accurately interprets part of the algebraic expression.
(Please note that there seems to be a repetition in your options. If additional fees/interpretations are listed, clarification would be needed.)
- The term \( 4.5x \) indicates a cost that varies based on the number of individuals (let's assume \( x \) is the number of people, including Derrick and Maria).
- The \( 15 \) represents a fixed cost.
From the context given, if Derrick and Maria are the only ones in the car, then \( x = 2 \).
So, breaking it down:
- The entry fee for the car is not explicitly stated in the expression, but if the individual entry fee for each person is included in the \( 4.5x \) part and there’s a fixed entry fee of \( 15 \), it's reasonable to conclude that the total entry fee could be correlated to those individual fees.
Given the stated possible answers, the correct interpretation of the expression \( 4.5x + 15 \) leading to which part accurately describes the fee would be:
- **The entry fee for the car was $15.00**
However, it seems that "each individual entry fee was $4.50" could also fit based on how the problem is construed, but if forced to choose strictly based on available options, **the entry fee for the car was $15.00** would be the best fit that accurately interprets part of the algebraic expression.
(Please note that there seems to be a repetition in your options. If additional fees/interpretations are listed, clarification would be needed.)