A satellite tv company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 99x + 15. Which statement represents the meaning of each part of the function?

A. x is the total cost, y is the number of months of service, $99 is the installation fee, and $15 is the service charge per month.
B. y is the total cost, x is the number of months of service, $15 is the installation fee, and $99 is the service charge per month.
C. y is the total cost, x is the number of months of service, $99 is the installation fee, and $15 is the service charge per month.
D. x is the total cost, y is the number of months of service, $15 is the installation fee, and $99 is the service charge per month.

1 answer

In the function \( y = 99x + 15 \), \( y \) represents the total cost, \( x \) represents the number of months of service, \( 99 \) represents the service charge per month, and \( 15 \) represents the one-time installation fee.

Therefore, the correct interpretation is:

C. \( y \) is the total cost, \( x \) is the number of months of service, \( 99 \) is the installation fee, and \( 15 \) is the service charge per month.