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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9q2t5w99l4fejwa7jqqjz9kfylk8w5ogai.png)
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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mgudlb3fqqg20z86kn7s8p4oeerpmcm5dt.png)
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