Perform the Indicated Operations $$\begin{array} { l } M = - 23 x ^ { 3 } + 1170 x ^ { 2 } - 13,808 x + 72,566 \\W = 8 x ^ { 3 } - 56 x ^ { 2 } + 511 x + 14,763\end{array}$$

question 21

Multiple Choice

Perform the indicated operations.
-The bar graph shows the median annual income for residents of a selected region of the United States, by level of education. The given polynomial models describe the median annual income for men, M, and for women, W, who have
Completed x years of education. $$\begin{array} { l } M = - 23 x ^ { 3 } + 1170 x ^ { 2 } - 13,808 x + 72,566 \\W = 8 x ^ { 3 } - 56 x ^ { 2 } + 511 x + 14,763\end{array}$$ Find a mathematical model for M - W and use it to calculate the difference in the median annual income between
Men and women with 8 years of education. Does the model underestimate or overestimate the actual
Difference?

• A) $4533; underestimates
• B) $1325; underestimates
• C) $14,019; overestimates
• D) $5843; overestimates

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