Question

Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?

243/15
11
-15/243
33​

Answer 1

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

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

In this problem, rate over the interval d = 5 to d = 20, hence $a = 5, b = 20$.

The values of the function are $p(5) = 39, p(20) = 204$.

Hence:

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

$A = \frac{204 - 39}{20 - 5}$

$A = 11$

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437