Rational Function Application Question

  • Thread starter Cuisine123
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  • #1
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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?
 

Answers and Replies

  • #2
tiny-tim
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Hi Cuisine123! :wink:
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? :smile:
 
  • #3
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Hi Cuisine123! :wink:


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

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?
 

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