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 Please select the best answer from the choices provided A B C D.

Answer 1

The number of police officers in 2016 to have a greater percent increase than that of private investigators will be 761,307.

How to calculate percentage increase?

Given:

Private investigators in 2006 = 52,000

Private investigators in 2016 = 61,000

The percentage increase in the number of private investigators can be calculated as:

$\begin{aligned} \rm Percentage\:increase\ &= \dfrac{Increase\:in\:Private \:investigators\:from\:2006\:2016}{Private\: investigators\:in\:2006}\times 100\\\\&= \dfrac{61,000 - 52,000}{52,000}\times 100\\\\&=\dfrac{9,000}{52,000}\times 100\\\\&= 17.30\% \end$

The increased number of police officers can be calculated as;

$\begin{aligned} \rm Police\:officers\:in\:2016 &= Police\:officers\:in\:2006 + 17.30\%\\\\&= 648,982 + 17.30\%\\\\&= 761255.886\end$

Since the percentage increase in the number of officers is more than that of private investigators. The number of police officers will be 761,307.

Hence the correct option is b.

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