From the definition of the secant line we get that the average rate of change of $P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5$ , where $x$ is the selling price of the product, measured in dollars per unit, is:

$r = \frac{P(55)-P(50)}{55-50}$ (1)

Now we evaluate the function at each bound:

x = 50

$P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5$

$P(50) = 11$

x = 55

$P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5$

$P(55) = 9.125$

Then, the average rate of change is:

$r = \frac{9.125-11}{55-50}$

$r = -0.375$

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0

2 years ago

Plz help me this one is a lil tough

Aneli [31]

Answer:

100 degrees

Step-by-step explanation:

It's going through 140 and 40, 180 - 40 = 140

180 cause a flat line is 180 degrees

8 0

3 years ago

Read 2 more answers

Simplify.

NikAS [45]

= (16x3 - 8x2 + 4x4) / 2x

= 4x * (4x2 - 2x + x3) / 2x

= 2 * (4x2 - 2x + x3)

= 8x2 - 4x + 2x3

Answer A

4 0

3 years ago

Read 2 more answers