the function g models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function…
the function g models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area. which of these statements are true? choose all answers that apply: a theres the largest possible number of mosquitoes when rainfall is about 2 cm. b theres the largest possible number of mosquitoes when rainfall is about 4 cm. c there are no mosquitoes when there is no rainfall. d there are no mosquitoes when rainfall is about 4 cm.
Answer
Explanation:
Step1: Analyze the maximum - point of the function
The graph of the function (g) is a parabola opening downwards. The maximum of the function occurs at the vertex. Looking at the graph, the (x) - value (rainfall) at the vertex is approximately (x = 2) cm. So, there is the largest possible number of mosquitoes when rainfall is about (2) cm.
Step2: Check the (y) - value at (x = 0)
When (x = 0) (no rainfall), the graph intersects the (y) - axis at (y = 0). So, there are no mosquitoes when there is no rainfall.
Step3: Check the (y) - value at (x = 4)
When (x=4) cm, the (y) - value (number of mosquitoes) is (y = 0). So, there are no mosquitoes when rainfall is about (4) cm.
Answer:
A. There's the largest possible number of mosquitoes when rainfall is about 2 cm. C. There are no mosquitoes when there is no rainfall. D. There are no mosquitoes when rainfall is about 4 cm.