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?

Answer 1

In the function \( y = 99x + 15 \), we can break it down as follows:

• \( y \): This represents the total cost in dollars.
• \( x \): This represents the number of months of service.
• \( 99 \): This is the monthly service charge in dollars. It indicates that for each month of service, the customer will pay an additional $99.
• \( 15 \): This is the one-time installation fee in dollars. It indicates that when a customer first subscribes, they need to pay $15 as an initial charge, regardless of how many months they continue to receive the service.

So, in summary:

• The \( 15 \) represents the one-time installation fee.
• The \( 99 \) represents the monthly service charge per month of service.