Question

An entomologist can model the number of mosquitos in a forest as a function of rainfall.

The function f(x)=5x-x^2, where x represents rainfall (in centimeters), gives the number of mosquitos in the forest (in millions). Here is a graph of f and the graph of the line y=3
Which statements represent the meaning of the intersection points of the graphs?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
They describe the situation where the number of mosquitos (in millions) is equal to the rainfall (in centimeters).

(Choice B)
B
They describe the amounts of rainfall that relate to 333 million mosquitos.

(Choice C)
C
They describe the number of mosquitos when the rainfall is 3\,\text{cm}3cm3, start text, c, m, end text.

(Choice D)
D
They give the solutions to the equation 5x-x^2=35x−x
2
=35, x, minus, x, squared, equals, 3.

Answer 1

4

Explanation:

Answer 2

Answers:

B and D

Explanation:

+

B - This intersects really show us amount of rainfalls (x values) for amount of mosquitoes = 3 millions

D - We can find intersects for this equations if we combine them to one equation

-

C - We have no intersect of x=3

A - Intersects don't show the same values for x and y