The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police officers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of private investigators?
a.
657,983
b.
761,307
c.
671,128
d.
713,180

Question

The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police officers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of private investigators? 
a.
657,983
b.
761,307
c.
671,128
d.
713,180

SmokeyBrown · Answer

Hi Garcia, and welcome to QuestionCove!
First, we should find the percent increase in private investigators. The number goes from 52,000 to 61,000. If we divide 61,000 by 52,000, we see that the number increased by a ratio of 1.17.
Now, how many police officers will there be if that number increases by the same ratio?
Take the number of police officers, 648,982, and multiply that by 1.17
The correct answer must be *greater than* the result of that calculation.