A bacteria culture starts with bacteria and grows at a continuous rate proportional to its size (follows the law of uninhibited growth or decay). After hours there will be bacteria. (a) Express the population after hours as a function of . Be sure to keep at least 4 significant figures on the growth rate. = (b) What will be the population after 7 hours? Whole bacteria only. bacteria (c) How long will it take for the population to reach 2470? Give your answer accurate to at least 2 decimal places. hours