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?
the entry fee for the car was $4.50
each individual entry fee was $15.00
each individual entry fee was $4.50
the entry fee for the car was $19.50
the entry fee for the car was $4.50
each individual entry fee was $15.00
each individual entry fee was $4.50
the entry fee for the car was $19.50
Answers
GPT-4o mini
The expression \(4.5x + 15\) can be broken down as follows:
- The term \(4.5x\) represents a variable cost that depends on \(x\), which typically represents the number of individual tickets sold.
- The term \(15\) represents a fixed cost, which in this context would be the entry fee for the car.
Based on the context of the expression, we recognize that:
- The coefficient \(4.5\) likely represents the cost of each individual entry fee.
- The constant \(15\) indicates a fixed entry fee related to the car.
Thus, the correct interpretation among the given options is:
**Each individual entry fee was $4.50.**
- The term \(4.5x\) represents a variable cost that depends on \(x\), which typically represents the number of individual tickets sold.
- The term \(15\) represents a fixed cost, which in this context would be the entry fee for the car.
Based on the context of the expression, we recognize that:
- The coefficient \(4.5\) likely represents the cost of each individual entry fee.
- The constant \(15\) indicates a fixed entry fee related to the car.
Thus, the correct interpretation among the given options is:
**Each individual entry fee was $4.50.**