Question

The Demand function for a product is given by:

Answer 1

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

$D(q) = -0.0003q^2 - 0.04q + 23.56$

What is the average rate of change of Demand between 40 and 175 units sold?

$a = 40, b = 175$. So

$D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48$

$D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725$

So

$A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045$

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.