SOLUTION: Suppose an antique clock is expected to be worth $400 after 3 years and $660 after 5 years. What will the clock be worth after 8 years?

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Question 1109899: Suppose an antique clock is expected to be worth $400 after 3 years and $660 after 5 years. What will the clock be worth after 8 years?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
What form of growth is expected?

y=a%2Ab%5Ex

system%28400=a%2Ab%5E3%2C660=a%2Ab%5E5%29

660%2F400=%28ab%5E5%29%2F%28ab%5E3%29

b%5E2=1.65

b=1.2845
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a=400%2Fb%5E3
a=400%2F%281.2845%5E3%29
a=188.7
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From 5 years to 8 years is a change by 3 years.
Start value from 5 years was 660.
660%2A1.2845%5E3
1399
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Alternate:
188%2A1.2845%5E8

1393, nearly the same as 1399...
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If you want a linear fit model, then the procedure is different and gives a different value.