A home security company charges a one-time setup fee and a monthly monitoring fee. The total cost is modeled by the function y = 120x + 30. Which statement represents the meaning of each part of the function?

Question

Responses

y is the number of months, x is the total cost, 120 is the one-time fee, and 30 is the monthly fee.
y is the number of months, x is the total cost, 120 is the one-time fee, and 30 is the monthly fee.

y is the total cost, x is the number of installations, 120 is the setup fee, and 30 is the monthly fee.
y is the total cost, x is the number of installations, 120 is the setup fee, and 30 is the monthly fee.

y is the total cost, x is the total number of services, 120 is the one-time fee, and 30 is the monthly fee.
y is the total cost, x is the total number of services, 120 is the one-time fee, and 30 is the monthly fee.

y is the total cost, x is the number of months, 120 is the monthly fee, and 30 is the one-time setup fee

Answer 1

The correct interpretation of the function \( y = 120x + 30 \) is as follows:

• \( y \) is the total cost,
• \( x \) is the number of months,
• 30 is the one-time setup fee, and
• 120 is the monthly monitoring fee.

None of the provided options correctly represent this interpretation.

Based on the function, the proper understanding should be:

• \( y \) (total cost) increases by 120 for each month of monitoring after a setup fee of 30.

If there are any options that specifically reflect this meaning, those would be correct. However, since none fit, it appears the answer choices may not be accurate.