Question

the population of one part of the city is recorded. in 2010 there was a population of 6500 people. from 2010 to 2014 our population increased by 10%. from 2014 to 2017, the population decreased by 6%. what was the population in 2017?​

Answer 1

Hello there!

Your question asks to find what was the size of the population in 2017

Answer: 6,721

In order to solve this problem, we're going to need to use the given information in the question in order to find the population in 2017.

Key information:

In 2010, population was 6500

In 2014, population increased by 10% from 2010

In 2017, population decreased by 6% from 2014.

With the information above, we can solve the problem.

We're going to start with 6500 as our starting population.

We know that the population increased by 10% in 2014, so we would multiply 6500 by 1.10.

$6500*1.10=7,150$

The population in 2014 was 7,150.

We know that in 2017, the population decreased by 6% from the population in 2014. So we would find how much 6% is from 7,150 and then subtract that number.

$7,150*.06=429\\\\7,150-429=6,721$

When you're done solving, you sohuld get 6,721.

The population in 2017 would be 6,721.

I hope this helps!

Best regards, MasterInvestor