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) = Cekt, resulting in P(t) = 1.1ekt
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.
|P(t) = 1.1ekt
where P(t) is population (in millions) at time t years after the