for the inverse variation equation $xy = k$, what is the constant of variation, $k$, when $x = -3$ and $y = -2$?

-6

$-\frac{2}{3}$

$\frac{3}{2}$

6

Question

for the inverse variation equation $xy = k$, what is the constant of variation, $k$, when $x = -3$ and $y = -2$?

-6

$-\frac{2}{3}$

$\frac{3}{2}$

6

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" ], "new_concepts": [], "current_concepts": [ "Inverse Variation" ] } ## Identify the given values and equation $$ xy = k,\quad x = -3,\quad y = -2 $$ ## Substitute the values to solve for k $$ k = (-3) \cdot (-2) = 6 $$

(A) $-6$

(B) $-\frac{2}{3}$

(C) $\frac{3}{2}$

(D) $6$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and equation

Substitute the values to solve for k

Answer: