Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the population growth rate of the city.​

5% annual population growth rate

Step-by-step explanation:

Let the percent the population grows by be . The total population, , after years can be modeled by the function:

Why?

Let's take a look at a simple example. If we said a number grew by 10%, we could represent the number after it grew by multiplying by . This is because growing by 10% is equivalent to taking of that number and we convert a percentage to a decimal by dividing by 100.

Therefore, if the population grew , we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of (number of years) to multiply by the initial population of 40,000 to get the total population after years.

Since the population of the town after two years is 44,100, substitute and into :

Therefore, the city has an annual population growth rate of 5%.

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step-by-step explanation: