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

Answer:

d.189000

Step-by-step 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 $6.3% x+x=201,000$

$\frac{63}{1000}x+x=201000$

$\frac{63x+1000x}{1000}=201000$

$\frac{1063}{1000}x=201000$

$x=\frac{201000\times 1000}{1063}$

$x=189087.4$

$x=189087$

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