Problem 7. (1 point) A bacteria culture starts with 780 bacteria and grows at a rate pro- portional to its size. (That is, the population obeys the differential equation de = kP for some constant k). After 6 hours there will be 4680 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be the population after 6 hours? (c) How long will it take for the population to reach 1950 ? Answer(s) submitted: (incorrect)