Question

The percentage of working mothers y can be modeled by the equation y=0.0103x +0.642, where x is the number of years since 1990.

Estimate the year in which 70% of mothers were in the workforce.

Answer 1

The number of years in which 70% of the mothers in the workforce is 5 years 6 months .

Explanation:

Given as :

The percentage of working mothers y can be modeled by the equation

y = 0.0103 x +0.642

where x is the number of years

y is the percentage of mothers

Now , for the percentage of mothers = 70% = 0.7

So, 0.7 = 0.0103 x + 0.642

Or, 0.7 - 0.642 = 0.0103 x

Or, 0.058 = 0.0103 x

∴ x =
`(0.058)/(0.0103)`

I.e x = 5.6

So, The number of years = x = 5 years 6 months

Hence The number of years in which 70% of the mothers in the workforce is 5 years 6 months . Answer