Solve the Problem $\mathrm { M } ( \mathrm { x } )$

question 304

Multiple Choice

Solve the problem.
-The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$ , in millions, in a certain area depends on the June rainfall $\mathrm { x }$ , in inches: $\mathrm { M } ( \mathrm { x } ) = 13 \mathrm { x } - \mathrm { x } ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

• A) 0 in.
• B) \(169 \mathrm { in }\).
• C) \(6.5 \mathrm { in }\).
• D) 13 in.

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Definitions:

Certain Conditions

Specific prerequisites or situations that must be met or are assumed to be in place.

Empirical Reasoning

The process of forming conclusions based on observed evidence or experimented data rather than theory or pure logic.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.

Non-Circularity

A principle in logical reasoning where the reasoning or explanation provided does not rely on its own conclusion as a premise.