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?

Private investigators increase by 61,000 − 52,000 = 9,000, which is 9,000 ÷ 52,000 ≈ 17.31%. Applying that same percentage increase to 648,982 police officers gives about 761,306 officers; to have a greater increase, the number must be higher than that. Therefore, 761,307, choice B, is the smallest listed number that works.

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