1. The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1995. Round your answer to 2 decimal places.
--- billion people
2. A bacteria culture starts with `160` bacteria and grows at a rate proportional to its size. After `6` hours there will be `960` bacteria.
(a) Express the population `P` after `t` hours as a function of `t`.
P(t)=
(b) What will be the population after 2 hours?
(c) How long will it take for the population to reach 2570? Give your answer accurate to at least 2 decimal places.