Answer:
• y=150+7x
,• 8 months
Explanation:
• The purchase cost of the home security system = $150.
The monthly service cost = $7.
If the number of months the security system is in operation = x
• Then, the service cost for x months = $7x
Therefore, the cost of owning the system for x months is given by the equation:
[tex]y=150+7x[/tex]When the amount spent, y = $200
[tex]200=150+7x[/tex]We solve for x in order to estimate how many months you will have owned the system.
[tex]\begin{gathered} \text{Subtract 150 from both sides} \\ 200-150=150-150+7x \\ 50=7x \\ \text{Divide both sides by 7} \\ \frac{7x}{7}=\frac{50}{7} \\ x=7\frac{1}{7} \end{gathered}[/tex]By the time you've spent $200 on home security, you will have owned the system for 8 months.
