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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.
 

STATEMENT JUSTIFICATION
P(t) = 1.1ekt where P(t) is population (in millions) at time t years after the year 2000.

 

 

 

Given

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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