The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours
y is the depth in feet and x is the time in hours
From the table we can see that
In 9 hours, the depth is 18 feet
In 18 hours , the depth is 21 feet
(9,18 ) and (18,21)
Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-18}{18-9}[/tex]
= [tex]\frac{3}{9}[/tex]
= [tex]\frac{1}{3}[/tex]
the average rate of change for the depth of the river is [tex]\frac{1}{3}[/tex] feet per hour
The average is 0.3333.
Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Given
A graph is shown depth versus time.
The average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18.
It is the ratio of the sum of the observation to the total number of observations.
So the ratio of depth to time is average.
The difference in depth is 3 feet.
And time duration is 9 hours
Then the average will be
[tex]\rm Average = \dfrac{Difference\ in\ depth}{time duration} \\\\Average = \dfrac{3}{9} \\\\Average = \dfrac{1}{3} \\\\Average = 0.333[/tex]
The average is 0.3333.
More about the mean link is given below.
https://brainly.com/question/2426692
