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

Find the value k of the exponential growth rate. Assume V_o = 281.

k = ????

(Round to the nearestthousandth.)

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

V(t) =??????

Estimate the value of the toy tractor in 2006.

$ ?????

(Round to the nearestdollar.)

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

????? years

(Round to the nearesttenth.)

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

???? years

(Round to the nearesttenth.)