I'm having trouble with an exponential word problem

Mathematics
Tutor: None Selected Time limit: 1 Day

The table below gives the value of a car over two years.Using an exponential best-fit model, after how many years is the car valued at 25% of the original value?

Year 0  0.5  1.0  1.5  2.0

Value ($)15,500.00  14,560.00  13,911.20  12,969.66  12,204.09

Apr 6th, 2015

Exponential equation will be...

Y = 15517.9432*(0.888^X) 

Y = Value

X = year

for Y = 15000/4 = 15517.9432*(0.888^X) 

X=>11.95 Years (approximately 12 years)

May 11th, 2015

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Apr 6th, 2015
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Apr 6th, 2015
Dec 8th, 2016
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