High School

The population (in millions) of a country in 2011 and the expected continuous annual rate of change \( k \) of the population are given:

2011 Population: 97.3 million
Rate of Change \( k \): 0.019

(a) Find the exponential growth model \( P(t) \).

Answer :

So, the exponential growth model for the population (p) would be: p = 97.3 * e^(0.019t)

To find the exponential growth model, we can use the formula:

p = p0 * e^(kt)

Where:
p = population at time t
p0 = initial population
k = continuous annual rate of change
t = time elapsed

In this case, the initial population (p0) is 97.3 million and the continuous annual rate of change (k) is 0.019.

So, the exponential growth model for the population (p) would be:

p = 97.3 * e^(0.019t)

Please note that e is Euler's number, a mathematical constant approximately equal to 2.71828.

To know more about Euler's number, visit:

brainly.com/question/30639766

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