Question

C) Find the average rate of change over the interval [1,4].

12
2.8 3.1 4
y|8 8 14 17 21 25
x
X
5.3
29

Answer 1

Answer:4.333.

Explanation:

To find the average rate of change over the interval [1,4], we can use the formula:

Average rate of change = (change in y)/(change in x)

In this case, the values of x and y are given in the table as follows:

x: 1 2 3 4

y: 8 14 17 21

So, the change in x over the interval [1,4] is 4 - 1 = 3, and the change in y is 21 - 8 = 13.

Plugging these values into the formula, we get:

Average rate of change = (13)/(3) = 4.333...

So, the average rate of change over the interval [1,4] is approximately 4.333.