1. [13 pts] Two different bacteria colonies are growing near a pool of stagnant water. Suppose that the first colony initially has 1000 bacteria and doubles every 21 minutes. The second colony has 710,000 and doubles every 33 minutes. a. Find the growth equations for each colony as a function of elapsed time in minutes. b. How much time will elapse before the first colony becomes as large as the second? c. Compute the doubling time for both colonies