Exponential & Log Applications - Exercise 1 - Population Growth

The population of a city is growing exponentially. In the year 2000, its population was about 1.1 million and in the year 2005 its population was about 1.4 million.  Let t=0 represent the year 2000.  This implies an initial amount of C = 1.1 in the growth equation P(t) = Ce^kt, resulting in P(t) = 1.1e^kt where P(t) is population (in millions) at time t years. Use the other data to solve for  k and write the complete model. Justify the steps used to solve for k.

Using the complete model, estimate the population in the year 2020, assuming exponential growth continues.