Search
Ask a question
0

I got a negative answer am i wrong?

The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall X, in inches, according to the equation M(x)=16x-x^2. what rainfall produces the maximum number of mosquitoes? 

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Kenneth S. | Algebra/Trig/Precalculus/Calculus Instructor Can Be Your TutorAlgebra/Trig/Precalculus/Calculus Instru...
4.8 4.8 (59 lesson ratings) (59)
1
Check Marked as Best Answer
This model is a quadratic equation that opens downwardly because a<0.
Therefore the maximum occurs at the vertex.
The formula for the x coordinate of the vertex is xvertex = -b/(2a) and if you substitute a=-1 and b = 16 you will get a POSITIVE x value.  Then M(x) is the resultant # of mosquitoes.