Question

In 2005, the car cost was modeled by C= -15x² + 20x - 3, and in 2010 by C= -10x² + 30x - 2. Find the difference in the average cost equations.

A. 5x² + 10x - 1
B. -5x² + 10x - 1
C. 5x² - 10x + 1
D. -5x² - 10x + 1

Answer 1

To find the difference in the average cost equations, we subtract one equation from the other. The difference in the average cost equations is -5x² - 10x - 1.

Step-by-step explanation:

To find the difference in the average cost equations, we need to subtract one equation from the other.

Given:

First equation: C = -15x² + 20x - 3

Second equation: C = -10x² + 30x - 2

Subtracting the second equation from the first equation:

(-15x² + 20x - 3) - (-10x² + 30x - 2)

Simplifying the equation:

-15x² + 20x - 3 + 10x² - 30x + 2

Combining like terms:

-5x² - 10x - 1

Therefore, the difference in the average cost equations is -5x² - 10x - 1, which corresponds to option D.