Hello there!
In this question, we're going to need to find the population in 2017, while using the given information.
Answer: 5.3% increase
Lets gather the information we should know from the question.
Key information:
2015 -- Population of 750
Increased by 17% in the next year
Decreased by 10% the next year
With the information above, we can solve the problem.
We know that our starting population for crickets is 750, and it increases by 17% for the next year (2016), so we would multiply 750 by 1.17
[tex]750*1.17=877.5[/tex]
Our population in 2016 is 877.5.
Now, we know that he population in 2016 decreased by 10% going into 2017. We would need to find how much of 877.5 is 10%, and then subtract.
[tex]877.5*.10=87.75\\\\877.5-87.75=789.75[/tex]
When you're done solving, you should get 789.75
This means that the population of crickets in 2017 is 789.75.
Now, we know that we started with 750 crickets, now we have 789.5 crickets.
We would divide 789.5 by 750.
[tex]789.5\div750=1.053[/tex]
We would move the decimal place two times to the right, giving us 5.3.
This means that the population increased by 5.3% from 2015 to 2017.
I hope this helps!
Best regards, MasterInvestor.
