The population​ (in thousands) of people of a city is growing according to the function P(t)=1400(2)^ 0.1041 t ​,where t is the number of years since 2002. ​(a) Find the population of the city in 2002 and in 2010. ​(b) Predict the population in 2017. ​(c) When will the population reach 5.6 ​million?

A scientist begins an experiment with 400 bacteria in a petri dish. The population doubles every hour. The function gives the number of bacteria t [Choose] [Choose ] p(t) = 400(1.25)^t m(t) = 400(0.75)^t j(t) 400(2)^t k(t) = 400(0.25)^t hours since the experiment began. %3D A patient takes 400 mg of a medicine. The amount of medicine in her %3D bloodstream decreases by 25% every hour. The function gives the amount of medicine left in her bloodstream after t hours of taking the medicine. In a lake, the population of a species of fish is 400. The population is [Choose ] expected to grow by 25% in the next year. The function gives the number of fish in the lake t years after it was 400.

A radioactive material loses mass according to the exponential relation y = 170 n (3) 28 where y is measured in grams and n is the number of days. Determine the amount of material remaining after 29 days.

Find the exponential function f(x) = a\ whose graph is given. f(x) y 4 1 2, 25 X -3 -2 -1 1 2 3 -1 3.