A local gym charges 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? (1 point)

Question

Responses

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.
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.

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.
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.

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.
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.

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.

Answer 1

The correct interpretation of the function \( y = 15x + 12 \) in the context of the gym's charges is 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, there is a charge of $15.
• The term \( 12 \) represents the one-time enrollment fee.

Thus, the correct statement is:

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.