Solve the Problem $y$ Varies Directly As $x ^ { 2 }$

question 320

Multiple Choice

Solve the problem.
-If $y$ varies directly as $x ^ { 2 }$ and inversely as $m$ , and $y = 6$ when $x = 8$ and $m = 4$ , find $y$ when $x = 9$ and $m = 7 .$

• A) \(4.06\)
• B) \(4.34\)
• C) \(3.05\)
• D) \(3.86\)

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Definitions:

Scientific Approach

A method of inquiry that uses systematic, empirical, and objective methods to investigate phenomena, form hypotheses, and gather evidence to support or refute them.

Falsifiability

The principle that a good scientific idea or theory should be capable of being shown to be false when tested using scientific methods.

Empiricism

Use of objective observations to answer a question about the nature of behavior.

Empirical Evidence

Evidence that is based on observation, experience, or experiment, rather than theory or pure logic.