120k views
5 votes
A home security system costs $150 to purchase, and then the services to run this system cost $7 per month .Let x represent the number of months the security system is in operation and y represent the cost of owning the system for x months. Write an equation to represent this situation.Use your equation to estimate how many months you will have owned the system by the time you've spent $200 on home security

User DerManu
by
7.8k points

1 Answer

4 votes

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:


y=150+7x

When the amount spent, y = $200


200=150+7x

We solve for x in order to estimate how many months you will have owned the system.


\begin{gathered} \text{Subtract 150 from both sides} \\ 200-150=150-150+7x \\ 50=7x \\ \text{Divide both sides by 7} \\ (7x)/(7)=(50)/(7) \\ x=7(1)/(7) \end{gathered}

By the time you've spent $200 on home security, you will have owned the system for 8 months.

User MJ Montes
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories