Question

Brianna went hiking. Brianna's altitude (in meters above sea level) as a function of time (in hours) is graphed. What is the approximate average rate at which Brianna's altitude increases, between the 7^\text{th}7 th 7, start superscript, start text, t, h, end text, end superscript and the 11^\text{th}11 th 11, start superscript, start text, t, h, end text, end superscript hour marks?'

Answer 1

Answer:

The average rate is 10 meters per hour.

Step-by-step explanation:

Consider the below figure attached with the given equation.

We need to find the approximate average rate at which Brianna's altitude increases, between the 7th and 11th hour marks.

From the below figure it is clear that

Brianna's altitude at 7th hour = 65

Brianna's altitude at 11th hour = 105

The average rate of change of a function f(x) on[a,b] is

$m=\dfrac{f(b)-f(a)}{b-a}$

$m=\dfrac{f(11)-f(7)}{11-7}$

$m=\dfrac{105-65}{4}$

$m=\dfrac{40}{4}$

$m=10$

Therefore, the average rate is 10 meters per hour.