A toy tractor sold for $281in 1977 and was sold again in 1989 for $414. Assume that the growth in the value V of the collector's item was exponential.

Find the value k of the exponential growth rate. Assume V_{o} = 281.

k = ????

(Round to the nearest thousandth.)

Find the exponential growth function in terms of t, where t is the number of years since 1977.

V(t) =??????

Estimate the value of the toy tractor in 2006.

$ ?????

(Round to the nearest dollar.)

What is the doubling time for the value of the toy tractor to the nearest tenth of a year?

????? years

(Round to the nearest tenth.)

Find the amount of time after which the value of the toy tractor will be $956.

???? years

(Round to the nearest tenth.)

#### Top Answer

k = 0.032 or 3.2% V(t) = 281e 0.032t , t = time in years... View the full answer

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#### Other Answers

Here is a detailed explanation... View the full answer

The value of k is 0.032 . The exponential growth function in terms of t, where t is the number of years... View the full answer