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Jake is studying a small insect population for his science fair project. In the mornings before school he records the insect population in his insect habitat. A porti
of his data is presented in the following function table.
Number of days
0
30 40 50
60
32
f (x) Number of insects
12 20 24 30
Which of the following best represents the average rate of change of this function over the interval of time from 30 days to 60 days?

Respuesta :

Using it's concept, it is found that the average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.

What is the average rate of change?

  • The average rate of change of a function f(x) over an interval [a,b] is given by the change in the output divided by the change in the input, that is:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem:

  • The inputs are of 30 and 60 days, hence [tex]a = 30, b = 60[/tex].
  • At day 30, there are 20 insects, hence [tex]f(a) = 20[/tex].
  • At day 60, there are 32 insects, hence [tex]f(b) = 32[/tex].

Then:

[tex]A = \frac{32 - 20}{60 - 30} = 0.4[/tex]

The average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.

You can learn more about the average rate of change at https://brainly.com/question/25775946