Answer
(a)
Consider the given function:
$G\left( x \right)=-0.01{{x}^{2}}+x+60$
Substitute, the value of x as 30 in the above equation.
G( 30)=-0.01{ 30}^{2}+( 30)+60
=-9+30+60
=81%
The above value obtained from the function shows the wage gap. It shows the wage gap of women’s earnings relative to men’s in the year 2010.
Hence, the value of $G\left( 30 \right)$is 81%.
(b)
Consider the data shown by the bar graph. It shows that the wage gap in the year 2010 is 83%. The difference between the value obtained from the function and the value shown by the bar graph is $83-81=2%$.
Here, it shows $G\left( 30 \right)$underestimate the actual data shown by the graph by 2%.
This value underestimates the actual data shown in the graph by 2%.
