select the correct answer.

the variable $q$ varies inversely as the cube of $v$. if $k$ is the constant of variation, which equation represents this situation?

$qv^3 = k$

$q^3v = k$

$\frac{q}{v^3} = k$

$\frac{q^3}{v} = k$

Question

select the correct answer.

the variable $q$ varies inversely as the cube of $v$. if $k$ is the constant of variation, which equation represents this situation?

$qv^3 = k$

$q^3v = k$

$\frac{q}{v^3} = k$

$\frac{q^3}{v} = k$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inverse Variation", "Constant of Variation" ], "new_concepts": [], "current_concepts": [ "Inverse Variation", "Constant of Variation" ] } ## Translate the verbal variation statement into an equation $$ q = \frac{k}{v^3} $$ ## Solve for the constant of variation $$ q \cdot v^3 = k $$

(A) $q v^3 = k$

(B) $q^3 v = k$

(C) $\frac{q}{v^3} = k$

(D) $\frac{q^3}{v} = k$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Translate the verbal variation statement into an equation

Solve for the constant of variation

Answer: