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.
STATEMENT 
JUSTIFICATION 
P(t) = 1.1e^{kt}
where P(t) is population (in millions) at time t years after the
year 2000.

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