The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010. a. Using = 0 , find the exponential growth rate, k. Don't round, instead use the exact value of the growth rate. b. Write the exponential growth function. Use the exact growth rate found in a. c. What should the population be in 2016? Use the function from b. When should the population be 999,999? Use the function from b. e. How long will it take the population to double? Use the exact growth rate found in a.