Question

The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 14, x What is the maximum possible number of mosquitoes?

Answer 1

49 Million

Explanation:

Answer 2

The maximum number of mosquitoes is 7

Explanation:

Given

`m(x)= x^2 + 14x`

Required

Determine the maximum number of the function

First, we differentiate the given function w.r.t x

`m'(x) = -2x + 14`

Then, we equate m'(x) to 0

`0 = -2x + 14`

Lastly, we solve for x

`0 = -2x + 14`

Make 2x the subject

`2x = 14`

Make x the subject

`x = 14/2`

`x = 7`