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

Answer:

The maximum number of mosquitoes is 7

Step-by-step 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

$x = 14/2$

$x = 7$

Answer 2

Answer:

49 Million

Step-by-step explanation: