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)

Responses

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.

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.

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.
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.

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.

1 answer

The correct interpretation of the function \( y = 15x + 12 \) in the context of the gym fees 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.

In this function:

  • \( y \) represents the total cost.
  • \( x \) represents the number of months of membership.
  • The \( 12 \) is the one-time enrollment fee.
  • The \( 15 \) is the monthly fee charged for each month of membership.

Thus, the correct response aligns with this interpretation.