the function g(x)= - 0.01x² + x + 57 models the wage gap, as a percent, x years after 1980 in country a. the…

the function g(x)= - 0.01x² + x + 57 models the wage gap, as a percent, x years after 1980 in country a. the graph of function g is shown underneath the actual data.\na. find and interpret g(10). identify this information as a point on the graph of the function.\ng(10)= , in the year . earnings were % of in country a.\n(type whole numbers)

the function g(x)= - 0.01x² + x + 57 models the wage gap, as a percent, x years after 1980 in country a. the graph of function g is shown underneath the actual data.\na. find and interpret g(10). identify this information as a point on the graph of the function.\ng(10)= , in the year . earnings were % of in country a.\n(type whole numbers)

Answer

Explanation:

Step1: Substitute x = 10 into the function

Substitute (x = 10) into (G(x)=-0.01x^{2}+x + 57). So (G(10)=-0.01\times(10)^{2}+10 + 57).

Step2: Calculate the value of the expression

First, calculate (-0.01\times(10)^{2}=-0.01\times100=-1). Then (-1 + 10+57=66).

Step3: Interpret the result

Since (x) is the number of years after 1980, when (x = 10), the year is (1980 + 10=1990). The function (G(x)) models the wage - gap as a percent, so (G(10) = 66) means that in 1990, median women's earnings were (66%) of median men's earnings in country A.

Answer:

(G(10)=66), in the year (1990), median women's earnings were (66%) of median men's earnings in country A.