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?

Answer 1

% change = \[\frac{ final~amount-~initial~amount }{ initial~amount }*100~percent\]

for the private investigators, this is

% change = \[\frac{ 61,000 -~ 52,000 }{ 52,000 }*100~percent\]

once you have the % change, repeat this process for the police officers, plugging in the % change from the previous step. you only have the initial amount of police officers, so you'll be solving for the final amount of police officers. round up to the nearest whole #.