Question

Algebra unit 6 retake
A home security company charges a one time setup fee and a monthly Monitoring fee. The total cost is modeled by the function y =120×+30 which statement represents the meaning of each part of the function
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 months.120 is a monthly fee and 30 is the one time set up thee
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 installations.120 is the set up fee and thirty is the monthly fee

Answer 1

The correct interpretation of the function \( y = 120x + 30 \) in the context of the home security company's fees 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.**

This statement accurately identifies \( y \) as the total cost, \( x \) as the number of months of service, and it specifies that the setup fee is $30, while the fee of $120 should actually be interpreted as the variable cost for each month of service.