Under ideal conditions a certain bacteria population is known to double every four hours. Suppose there are initially 130 bacteria.
(a) What is the size of the population after 20 hours?
(b) What is the size of the population after t hours?
(c) What is the size of the population after 29 hours?
(d) Graph the population function and estimate the time for the population to reach 120,000. (Give your answer to the nearest hundredth.)