Answer:
The maximum number of larvae occurs when the temperature is 5°C.
Step-by-step explanation:
We are given the function [tex]y=-2x^2+20x+400[/tex],
where x= temperature of water (in degrees) and y= number of insect larvae in water.
From the graph of the function below, we see that,
The peak or the highest point of the parabola is (5,450).
That is, when x= 5, then the value of y= 450
That is, when the temperature of the water is 5°, then the number of larvae in water is 450.
Hence, the peak of the graph means that,
The maximum number of larvae occurs when the temperature is 5°C.
