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The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area.

1 Answer

2 votes

Answer:

6cm produces the largest mosquito

Explanation:

The question has missing details.

From the complete question, the function is:


g(x) = 12x-x^2

Required

Which area of rainfall produces the most mosquito

This implies that, we calculate the maximum of the function.

This is calculated as:


Max = -(b)/(2a)

We have:


g(x) = 12x-x^2

Rewrite as:


g(x) = -x^2 + 12x + 0

From the above:


a= -1


b = 12


c = 0

So, we have:


Max = -(b)/(2a)


Max = -(12)/(2 * -1)


Max = (12)/(2)


Max = 6

This implies that:


x = 6 ---- the maximum

When rainfall is at 6cm, there is a maximum number of mosquitoes

The maximum is then calculated as:


g(x) = 12x-x^2


g(6) = 12 * 6 - 6^2


g(6) = 72 - 36


g(6) = 36

The maximum number of mosquito is 36 million

User Daniel Szmulewicz
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