The average is the ratio of the sum of the observation to the total number of observations. Then the average rate of change is 12. Option D is correct.
Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean.
Let the function f(x) = x² + 3x + 2
Then the average rate of change of f(x) from 3 to 6 will be
At x = 3, f(x) = 20
At x = 4, f(x) = 30
At x = 5, f(x) = 42
At x = 6, f(x) = 56
The rate of change will be
f(3) - f(4) = 30 - 20 = 10
f(5) - f(4) = 42 - 30 = 12
f(6) - f(5) = 56 - 42 = 14
Then the average of the change will be
[tex]\rm Average = \dfrac{10 + 12 + 14}{3 }\\\\Average = \dfrac{36}{3}\\\\Average = 12[/tex]
More about the mean link is given below.
https://brainly.com/question/521501
