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 83

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 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

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Definitions:

Cell Membrane

A biological membrane that separates the interior of all cells from the outside environment, controlling the passage of substances in and out of the cell.

Myelin

A fatty substance that forms a sheath around the axons of many neurons, facilitating fast and efficient electrical conduction of nerve impulses.

Resting State

A condition or period in which something is not active or operating, often used in reference to the brain or body.

Axon

A long, slender projection of a nerve cell, or neuron, that typically conducts electrical impulses away from the neuron's cell body.