The exponential growth function describes how a population grows over time. For Country C, with a starting population of 13 million and a growth rate of 3% per year, the function looks like this:
The population after a certain number of years (t) is equal to the initial population (13 million) multiplied by the natural number e (which is approximately 2.71828) raised to the power of the growth rate (3%) times the number of years (t).
Here’s the function in simpler terms:
Population after t years = 13 million × (2.71828^(0.03 × t))
So if you want to find the population after, say, 10 years, you would plug 10 into the function for t:
Population after 10 years = 13 million × (2.71828^(0.03 × 10))
This will give you the population size after 10 years based on the 3% annual growth rate. Remember, the 3% growth rate is written as 0.03 when used in the formula.
