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 10 years of education. Does the model underestimate or overestimate the actual
Difference?
A) $16,433; overestimates
B) $4987; underestimates
C) $6213; underestimates
D) $9653; overestimates

Question

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 10 years of education. Does the model underestimate or overestimate the actual
Difference? 
A) $16,433; overestimates 
B) $4987; underestimates 
C) $6213; underestimates 
D) $9653; overestimates

Quizplus · Accepted Answer

The Answer of 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 10 years of education. Does the model underestimate or overestimate the actual
Difference? 
A) $16,433; overestimates 
B) $4987; underestimates 
C) $6213; underestimates 
D) $9653; overestimates

Perform the Indicated Operations M=−23x3+1170x2−13,808x+72,566W=8x3−56x2+511x+14,763\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}M=−23x3+1170x2−13,808x+72,566W=8x3−56x2+511x+14,763​

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