SOLUTION: Amira's car is worth ​$14,890 now and expected to be worth ​$11,461 in 3 years. Assuming linear​ depreciation, find a linear depreciation function for this car and estimate i

Algebra ->  Finance -> SOLUTION: Amira's car is worth ​$14,890 now and expected to be worth ​$11,461 in 3 years. Assuming linear​ depreciation, find a linear depreciation function for this car and estimate i      Log On


   

Question 1154261: Amira's car is worth ​$14,890 now and expected to be worth ​$11,461 in 3 years. Assuming linear​ depreciation, find a linear depreciation function for this car and estimate its value in 7 years.
What is the linear depreciation function for this​ car?
f(x)=_______
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +r+ = the rate of depreciation
Let +x+ = number of years from now
Let +f%28x%29+ = the current value of the car
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+f%28x%29+=+14890%2A%28+1+-+r%2Ax+%29+
and
+r+=+%28+14890+-+11461+%29+%2F+3+
+r+=+3429%2F3+
+r+=+1143+
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+f%28x%29+=+14890+-+1143x++ answer
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In 7 years:
+f%287%29+=+14890+-+1143%2A7+
+f%287%29+=+14890+-+8001+
+f%287%29+=+6889+
The value in 7 yrs is $6,889
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Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+15%2C+-1500%2C+18000%2C+14890+-+1143x+%29+