Answer:
5 cm
Step-by-step explanation:
Given the function:
[tex]m(x)=-(x-5)^{2} +25[/tex]
As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.
The vertex form of a quadratic function is:
[tex]y=a(x-h)^{2} +k[/tex] where (h,k) is the vertex
Our given function have the vertex form as well, so the
(h,k) = (5,25)
At the height of 5 cm the rainfall will produce the maximum number of mosquitoes
