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

Answer 1

Answer:

Option: B is correct.

( b.  761,307 )

Step-by-step explanation:

It is given that:

The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016.

i.e. the percentage increase is given by:

$\dfrac{61000-52000}{52000}\times 100\\\\=\dfrac{9000}{52000}\times 100\\\\=17.3\%$

Now it is given that:

There are 648,982 police officers in 2006.

so the number of police officers in 2016 will be:

$117.3\% \times 648982\\\\=\dfrac{117.3}{100}\times 648982\\\\=761255.886$

Hence, number of  police officers  in 2016 to have a greater percent increase than that of private investigators is:

Option:b 761,307

(Since in all the other option the value is less than the estimated value i.e. 761255.886 )

Answer 2

b. 761,307 ................