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## Homework Statement

A security system costs $9/month in costs (fixed cost). If a new security system costs $1500 to purchase and last for 8 years:

a)Determine the 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.[

**Work Done**

let C(t) be the cost function for the security system

let t be the time in year

$9/month = $108/year

C(t)= 1500+108t

let A(x) be the average annual cost of the system

A(t)= (1500+108t)/t, t<8

b)What are the asymptotes for this function and what do they mean in the context of the problem? Is it realistic?

The vertical asymptote is at x=0???? How come?

c)If another brand of security system costs $200 but lasts 12 years, is this other brand of security sytsem worth the extra cost? Please justify your response.

Okay so,this function will be A(x) (2000+108t)/t..right? Am i supposed to subtract the two functions?