On November 20, 2014, Georgia O’Keeffe’s painting, “Jimson Weed/White Flower No. 1,” sold at Sotheby’s auction in New York City for $44.4 million, a record price for any female artist’s work that was sold at auction. The painting had previously sold for $1 million in 1994. Assuming that the value A of the painting has grown exponentially:

a) Find the value of k, and determine the exponential growth function, assuming that A₀ = $1 million and t is the number of years after 1994.

b) Estimate the value of the painting in 2019.

c) What is the doubling time for the value of the painting?

d) After how long will the value of the painting be $280 million, assuming that there is no change in the growth rate?