Zoe Oneal

## Answered question

2021-08-11

To calculate: An even that occurs in the future may result in forward growth of percentage of women in labor force. It is good to use a square root function for modeling this trend.
The function, $f\left(x\right)=3.5\sqrt{x}+38$ models the percentage of U.S women in the labor force, $f\left(x\right)$ and x years after 1960.

### Answer & Explanation

saiyansruleA

Skilled2021-08-12Added 110 answers

Step 1

Step 2
In this scenario, if percentage of women in labor force increases rapidly then, square root function would not be appropriate to model that trend.
Suppose percentage of women is 2020 becomes $90\mathrm{%}$, then by the given model in the example 6 i.e. $f\left(x\right)=3.5\sqrt{x}+38$
Here on substituting 60 for x, we get,
$f\left(60\right)=3.5\sqrt{60}+38$
$=3.5\left(7.74\right)+38$
$=27.09+38$
$=65.09$
So, by using model, we get $65.09\mathrm{%}$ but the percentage women is actually $90\mathrm{%}$, then the given function model won't give us the requires result of the ever-increasing trend.

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