Answer
(a)
Consider the given function:
$G\left( x \right)=-0.01{{x}^{2}}+x+60$
Substitute, the value of x as 10 in the above equation.
G(10)= -0.01(10)2 +10+60
= -1+10+60
= 69%
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 1990.
Hence, the value of $G\left( 10 \right)$is 69%.
(b)
Consider the data shown by the bar graph. It shows that the wage gap in the year 1990 is 71%. The difference between the value obtained from the function and the value shown by the bar graph is$71-69=2%$.
Here, it shows $G\left( 10 \right)$underestimate the actual data shown by the graph by 2%.
