Question

The population of a small city in 2010 was 36,000. In 2015, the population was 43,800. If the population growth is exponential and growth occurs at the same rate, what will be the population be in 2020? round your answer to the nearest whole number.

Answer 1

The population of the small city in the year 2020 using the given growth rate is; 51600 people

How to solve exponential growth rates?

We are given that;

Population of the small city in the year 2010 = 36000

Population in the year 2015 = 43800

Now, we are told that the growth rate occurs at the same rate per year. Thus;

Population change from 2010 to 2015 = 43800 - 36000 = 7800

Thus, the population increases by 7800/5 = 1560 people each year.

General form of exponential function is; y = bˣ

where b is rate of growth while x is number of years

But here we will use sequence to get;

y(10) = 1560 * 10 = 15600

Thus;

Population in 2020 = 36000 + 15600 = 51600 people

Read more about Exponential growth rate at; https://brainly.com/question/27161222

#SPJ1