The population of collin county which follows the exponential growth model

Increase from 491,675 in the year 2000 to 782,341 in 2010.
A. The solution for the exponential growth rate, B. Write the exponential growth function and C What should the population be in 2016.

A. 782341/491675 = 1.5911750648294096710225250419484, or a growth rate of 59% over 10 years. So:(1+k)^10 = 1.5911750648294096710225250419484ln (1+k)^10 = ln 1.591175064829409671022525041948410 ln(1+k) = ln 1.5911750648294096710225250419484ln(1+k) = ln 1.5911750648294096710225250419484/10 = 0.04644727777645335179835425806392e^0.04644727777645335179835425806392 = 1+kk = 1.0475428488243655419718940009655, or 4.75428488243655419718940009655% growth rate per year.

B. Population year t = 491675 x (1.0475)^(t-2000)

C. Population in 2016 = 491675 x (1.0475)^16 = 1033100.64 people