Your question asks to find what was the size of the population in 2017
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.
[tex]6500*1.10=7,150[/tex]
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.
[tex]7,150*.06=429\\\\7,150-429=6,721[/tex]
When you're done solving, you sohuld get 6,721.
The population in 2017 would be 6,721.