12. a home security company provides security systems for $5 per week, plus an installation fee. the total…

12. a home security company provides security systems for $5 per week, plus an installation fee. the total fee for 12 weeks of service is $210. write and solve a linear equation to find the cost of the installation fee.

12. a home security company provides security systems for $5 per week, plus an installation fee. the total fee for 12 weeks of service is $210. write and solve a linear equation to find the cost of the installation fee.

Answer

Explanation:

Step1: Set up the linear equation

Let (x) be the installation fee. The cost per week is ($5), and for (12) weeks, the cost for the weeks is (5\times12). The total cost is the sum of the installation fee and the cost for the weeks. So the equation is (x + 5\times12=210).

Step2: Simplify the equation

First, calculate (5\times12 = 60). The equation becomes (x+60 = 210).

Step3: Solve for (x)

Subtract (60) from both sides of the equation: (x=210 - 60).

Answer:

The installation fee is ($150).