SOLUTION: If a sports utility vehicle loses about 8% of its value each year, how many years old would the vehicle be when it is worth 25% of its orginial value? I am supposed to show this wo

Question 755028: If a sports utility vehicle loses about 8% of its value each year, how many years old would the vehicle be when it is worth 25% of its orginial value? I am supposed to show this work in y=av^x but I am not sure how I would even start.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If a sports utility vehicle loses about 8% of its value each year, how many years old would the vehicle be when it is worth 25% of its orginial value? I am supposed to show this work in y=av^x
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After losing 8%, it's worth 0.92 what is was the previous year.
y = av^x
a/4 = a*0.92^x
0.92^x = 1/4
x*log(0.92) = log(0.25)
x = log(0.25)/log(0.92)
x =~ 16.626 years

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