Bacteria are growing exponentially in an environment of unlimited space and food. The doubling time is 1 hour. a. If there are initially a milligrams of bacteria, express the mass of the bacteria as a function of time t. f(t) = x(2)^t b. Use your answer to part (a) to complete the following equation whose solution is the time at which there are 3x milligrams of bacteria. 3x = c. Solve your equation from part (b) for the time t at which there are 3x milligrams of bacteria. t = hours d. Your answer to part (c) should be between 1 and 2 hours. Check that it is. Do you understand why it has to be?