Question

Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006, approximately what was the total employment in 2006?

a.
214,000
b.
188,000
c.
195,000
d.
189,000

Answer 1

d.189000

Explanation:

We are given that total employment for sheet metal workers in 2016 is projected to be 201,000.

If this is 6.3% increase from 2006

We have to find the total number of employment in 2006

In 2016, Total number of employments =201,000

Let x be the total number of employments in 2006

Then
`6.3% x+x=201,000`

`(63)/(1000)x+x=201000`

`(63x+1000x)/(1000)=201000`

`(1063)/(1000)x=201000`

`x=(201000* 1000)/(1063)`

`x=189087.4`

`x=189087`

Hence, total number of employments in 2006=189000 approximately.

Option d is true.

Answer 2

201,000 = (2006 employment) +6.3%*(2006 employment)

201,000 = (2006 employment)*(1.063)

201,000/1.063 = (2006 employment) ≈ 189,087 . . . . . matching selection D