Determine the Constant of Variation for the Stated Condition $\mathrm { f }$

question 41

Multiple Choice

Determine the constant of variation for the stated condition.
- $\mathrm { f }$ varies jointly as $\mathrm { q } ^ { 2 }$ and $h$ , and $\mathrm { f } = 96$ when $\mathrm { q } = 4$ and $\mathrm { h } = 3$ . Find $\mathrm { f }$ when $\mathrm { q } = 3$ and $\mathrm { h } = 4$ .

• A) \(\mathrm { f } = 72\)
• B) \(f = 24\)
• C) \(\mathrm { f } = 18\)
• D) \(\mathrm { f } = 8\)

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Definitions:

Population Density

The measure of the number of individuals living per unit area, often used to understand how crowded an area is.

Aggressive

Exhibiting behavior characterized by hostility and intent to cause harm or assert dominance over others.

Household Density

measures the number of people living within a household or residential unit, often reflecting living conditions and space utilization.

Prison Environment

The physical and social conditions within a correctional facility, influencing the behavior and mental health of inmates.