SOLUTION: a new television depreciates $120 per year, and it is worth $340 after four years. find a function that describes the value of this television, if x is the age of the television in

Question 186634This question is from textbook mathematical analysis
: a new television depreciates $120 per year, and it is worth $340 after four years. find a function that describes the value of this television, if x is the age of the television in years.
In full details please, thank you This question is from textbook mathematical analysis

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the original value of the TV
given:
= depreciation/1 year
You have to understand that depreciation
is what the TV loses in value each year,
so every year it's worth less, and then it
gets depreciated again
------------------------------------------
is the value of the TV after 1 year
is the value of the TV after 2 years
is the value of the TV after 3 years
is the value of the TV after 4 years
The problem says the TV is worth $340 after 4 years, so

So, the TV was originally worth $820
------------------------------------
Now I need to write a function that tells me the
value of the TV for any given year
If is the year after purchase,
and is the value of the TV that year

A quick check is:
What is the TV worth after 4 years?

That's what it should be
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