Question

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?
Responses

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 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 number of months, 120 is the monthly fee, and 30 is the one-time setup fee.

Answer 1

The correct statement representing the meaning of each part of the function \( y = 120x + 30 \) is:

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

None of the options you provided perfectly correspond to this interpretation, but the intended meaning based on the function can be understood as:

- \( y \) represents the total cost.
- \( x \) represents the number of months.
- The term \( 120x \) indicates that there is a monthly fee of $120 for each month of service.
- The constant \( 30 \) represents a one-time setup fee.

If any option matches this description, that would be the correct answer. If not, it indicates there may be an oversight in how the options were presented.