Question

Just need answer to part C. According to the​ formula, when will ​54% of jobs in the labor force be held by​ women?

​54% of jobs in the labor force will be held by women by

Answer 1

Answer: 2117

Work Shown

`p = 1.4√(t) + 37\\\\54 = 1.4√(t) + 37\\\\54 - 37 = 1.4√(t)\\\\17 = 1.4√(t)\\\\1.4√(t) = 17\\\\√(t) = 17/1.4\\\\√(t) \approx 12.142857\\\\t \approx (12.142857)^2\\\\t \approx 147.448976\\\\t \approx 147\\\\`

Check:

`p = 1.4√(147) + 37 \approx 53.974098 \approx 54\\\\`

We estimate it takes about 147 years to have 54% of the jobs held by women. Add this to the start year 1970

1970+147 = 2117

In the year 2117 is when we estimate 54% of the jobs are held by women.