Rational Function Application Question

[Cuisine123]

Homework Statement

A home security system costs $9/month in electricity costs (you may assume this is a fixed cost over the duration of the time involved in this question). A new security system costs $1500 to purchase and lasts for 8 years.

Determine a rational function that gives the annual cost of a security system as a function of the number of years you own the system. Using this function determine the average annual cost of the security system given above.

Homework Equations

n/a

The Attempt at a Solution

I got C(x)=(1500+108n)/n, where n is the number of years.
What would be the "average annual cost" of the security system given above?

 

[tiny-tim]

Hi Cuisine123!

got C(x)=(1500+108n)/n, where n is the number of years.
What would be the "average annual cost" of the security system given above?

That is the "average annual cost", isn't it?

 

[Cuisine123]

Hi Cuisine123! That is the "average annual cost", isn't it?

The questions says, "Determine a rational function that gives the annual cost of a security system as a function of the number of years you own the system. Using this function determine the average annual cost of the security system given above."

C(x)=(1500+108n)/n, where n is the number of years, would be the rational function that gives the annual cost of the security system.

What about the average annual cost of the security system given above ?
Would it be C(8)=(1500+108(8))/8?