Question

If the population of a country is reported in the year 2005 as 145.65 million and in the year 2010 as 212.52 million, find an exponential growth function to model the population growth from 2005-2010.

Answer 1

To model the population growth from 2005-2010, we can use an exponential growth function of the form P(t) = P0 * e^(k*t), where P(t) represents the population at time t, P0 is the initial population, k is the growth rate, and e is a mathematical constant approximately equal to 2.71828.

Step-by-step explanation:

To model the population growth from 2005-2010, we can use an exponential growth function of the form P(t) = P0 * e^(k*t), where P(t) represents the population at time t, P0 is the initial population, k is the growth rate, and e is a mathematical constant approximately equal to 2.71828.

Using the given data, we can set up two equations:

1. 145.65 = P0 * e^(k*0)
2. 212.52 = P0 * e^(k*5)

Simplifying these equations will allow us to find the values of P0 and k, which will give us the exponential growth function to model the population growth from 2005-2010.

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