Question

The number of mosquitoes in Brooklyn (in

millions of mosquitoes) as a function of
rainfall (in centimeters) is modeled by
m(x) = -x(x – 4)
What amount of rainfall results in the
maximum number of mosquitoes?
centimeters

Answer 1

2

Explanation:

Answer 2

Maximum is 4

Explanation:

M(x) is quadratic function, so we need to fin maximum.

m(x)=-x(x-4)

m(x)=-x^2+4x

To find a maximum we need to find m’

M’(x)=-2x+4

M’(x)=0 if x=2

The maximum is in the point x=2

M(2)=-2(2-4)=4