The answers to most of the following exercises are in terms of logarithms and exponentials. A calculator can be helpful, enabling you to express the answers in decimal form.

The U.S. Census Bureau keeps a running clock totaling the U.S. population. On September 20,2012 , the total was increasing at the rate of 1 person every 12 sec. The population figure for 8: 11 P.M. EST on that day was 314,419,198 .

a. Assuming exponential growth at a constant rate, find the rate constant for the population's growth (people per 365 -day year).

b. At this rate, what will the U.S. population be at 8: 11 P.M. EST on September $20,2019 ?$