A painting sold for $216 in 1975 and was sold again in 1989 or $ 454. Assume that the growth in the value V of thecollector's item was exponential.

a) Find the value k of the exponential growth rate. Assume Vo=216

b) Find the exponential growth function in terms oft, where t is the number of years since 1975.

c) Estimate the value of the painting in 2015.

d) What is the doubling time for the value of the painting to the nearest tenth of ayear?

e) Find the amount of time after which the value of the painting will be $2352.