The rabbit population on a game reserve doubles every 3 months. Suppose there were 160 rabbits initially. The population can be modeled by the exponential function P(t) = P0 (a)t, where t is the number of months, P0 is the initial population, and a is the growth rate constant. a. Determine the growth rate constant a. Round to 4 decimal places. b. Substitute P0 and a to nd the function for the rabbit population after 15 months. we: c. Determine the population after 13 months. Round to the nearest whole number. mm = :1 (1. Select the graph of the mction P(t). 7 8 9 10 1 12 15 Q 3 1 1 2 3 4 5 8 7 8 9 10 1 12159 800- 4 5 6 7 8 9 10 12 12 15 9 200 -1 200-According to the World Bank, at the end of 2013 (t = 0) the US. population was 317 million and was increasing according to the model P(t) = 317.20-00732 where P is measured in millions of people and t is measured in years aer 2013. Based on this model, what was the population of the United States in 2021? Round to the nearest million people. |:| minionpeople a. Find the number of bacteria in the culture after & hours. bacteria b. The number of bacteria can be modeled by the function n(t) - no(2)"/, where r is the time in hours, pay is the initial number of bacteria, and & is the doubling time (in hours). Find the function n(f) for the given scenario. Preview c. Determine the number of bacteria after 40 minutes. Round to the nearest whole number. bacteria d. Select the graph of the function m(t). 35000 30900 25000 20900 15000 JOO00 5000 40090 35000 30000 25000 20900 a 40000 35000 34000 25000 20900 5000 O 40900 35000 30000 25000 20900 15000 5000