F(x)=x^3+9x^2+23x + 15
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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.
<h3>What is the average rate of change?</h3>- The <em>average rate of change</em> of a function f(x) over an interval [a,b] is given by the <u>change in the output divided by the change in the input</u>, that is:
In this problem:
- The inputs are of 30 and 60 days, hence
.
- At day 30, there are 20 insects, hence
.
- At day 60, there are 32 insects, hence
.
Then:
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 brainly.com/question/25775946