The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 policeofficers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of privateinvestigators?a. 657,983b. 761,307C. 671,128d. 713 180APlease select the best answer from the choices provided0 AOBNextSave and ExitShow MeSubmitMark this and return

Answer:Option b. 761,307Step-by-step explanation:step 1 Find the percent increase of private investigatorswe know that52,000 -----> represent 100%sousing proportionFind out the percent increase of (61,000-52,000=9,000) private investigatorsLetx -----> the percent increase[tex]\frac{52,000}{100\%}= \frac{9,000}{x\%}\\\\x=9,000*100/52,000\\\\x=17.3\%[/tex]step 2Find the number of police officers for a percent increase of 17.3%we know that648,982 ----> represent 100%[tex]100\%+17.3\%=117.3\%=117.3/100=1.173\\1.173(648,982)=761,256[/tex]Remember thatTo have a greater percent increase than that of privateinvestigators, the number of police officers must be greater than 761,256thereforeThe best answer is 761,307