2. A population of bacteria grows exponentially. Initially there was 1500 bacteria. After five hours there was 4500 bacteria. Find a function of time, N (t), which represents the bacteria's population size. (i) Find the population size after ten hours; (ii) Find the time when the population size was 3,000.

The population of a colony of bacteria decreases exponentially, decreasing by 30% every three hours. The population is 240, 000 at noon. Find the population when it is decreasing at the rate of 50, 000 bacte- ria/hour. Express your answer in its simplest form. Do not use a calculator. Then, at the very end, use a calculator to compute the population.

An adult takes 600 milligrams (mg) of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by one-third. Write the function that models the exponential change between the number of hours, t, and the number of milligrams of ibuprofen remaining in the person's system, m(t).

The population of an endangered species decreases at a rate of 7% per year. Approximately how long will it take the population to decrease to half of its current size?

Find a formula for f(x), an exponential function such that f(−8) = 200 and f(30) = 580.

The amount of money in an investment is modeled by the function A(t) = 650(0.7969)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ (B) The amount of money in the investment is increasing exponentially (C) The annual rate of change in the balance is r = or r = %. (D) In the year 2009 the investment balance will equal Round answer to the nearest penny. %24

If f(x) is an exponential equation, where f(4.5) = 6 and f(9)=17, then find the value of f(17.5), to the nearest hundredths.