A population of a Jellybean is growing exponentially. At the given timet, in years, the population J(t) is given by J(t) = J(0)ekt, where k is a con-stant.

(a) If the population was 200 in 2007 and 450 in 2012, find k.

(b) What is the expected population for 2020?

(c) In what year would you expect the population of Jellybeans to reach one million?