SOLUTION: In the year 2008, DJ bought a new car for $26,000. In 2013, he was told that the value of his car was $15,000 due to depreciation. He is told that the value of his car depreciates

Algebra ->  Human-and-algebraic-language -> SOLUTION: In the year 2008, DJ bought a new car for $26,000. In 2013, he was told that the value of his car was $15,000 due to depreciation. He is told that the value of his car depreciates       Log On


   

Question 1043469: In the year 2008, DJ bought a new car for $26,000. In 2013, he was told that the value of his car was $15,000 due to depreciation. He is told that the value of his car depreciates linearly.
A.Find a function V (t) which gives the value of the car t years after the year 2008.
B.In 2015, DJ is told that he will be given $3500 for his car if he decides to trade it in for a new car. Use the function from part (a) above to determine the value of his car in 2015.
C.Is the $3500 value fair based on what he was told about linear depreciation
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
year price
2008 26000
2009 23800
2010 21600
2011 1940
2012 17200
2013 15000
2014 12800
2015 10600
a.
in 2008,it is new so t=0
slope=%28-11000%2F%285%29%29
=-%282200%29 dollars per year
v(t)=-2200t +26000 when t=0 that is 2008,then value of the car is 26000
v(t=0)=-2200*0+26000=26000
b.
in 2015,t=7
v(t=7)=10,600
c.no