A local gym charged a one time enrollment fee to join and a monthly charge. The total cost is modeled by the function y = 15x + 12. Which statement correctly interprets the function in context?

Question

A. Y is the cost and x is the number of months someone is a member of the gym; $12 is the enrollment fee and $15 is the monthly fee.
B. X is the cost and y is the number of months someone is a member of the gym; $12 is the enrollment fee and $15 is the monthly fee
C. Y is the cost and x is the number of months someone is a member of the gym; $15 is the enrollment fee and $12 is the monthly fee
D. X is the cost and y is the number of months someone is a member of the gym; $15 is the enrollment fee and 12 is the monthly fee

Answer 1

The function \( y = 15x + 12 \) can be interpreted as follows:

• \( y \) represents the total cost.
• \( x \) represents the number of months someone is a member of the gym.
• The term \( 15x \) indicates that for each month of membership, the cost is $15.
• The constant term \( 12 \) represents the one-time enrollment fee.

Based on this, the correct interpretation is:

A. Y is the cost and x is the number of months someone is a member of the gym; $12 is the enrollment fee and $15 is the monthly fee.