select all the correct answers.

an inverse variation function has a constant of proportionality of 12.

which points are on the graph of the function?

$(3, 4)$

$(2, 6)$

$(6, 3)$

$(1, 12)$

Question

select all the correct answers.

an inverse variation function has a constant of proportionality of 12.

which points are on the graph of the function?

$(3, 4)$

$(2, 6)$

$(6, 3)$

$(1, 12)$

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" ] } ## Formulate the inverse variation equation $$ y = \frac{k}{x} \implies xy = k $$ Given the constant of proportionality $k = 12$: $$ xy = 12 $$ ## Test each given coordinate pair $$ \begin{aligned} &(3,4): 3 \times 4 = 12 \quad (\text{True}) \ &(2,6): 2 \times 6 = 12 \quad (\text{True}) \ &(6,3): 6 \times 3 = 12 \quad (\text{True}) \ &(1,12): 1 \times 12 = 12 \quad (\text{True}) \end{aligned} $$ ## Identify all correct options All four points satisfy the relation $xy = 12$.

(3, 4)

(2, 6)

(6, 3)

(1, 12)

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

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QUESTION IMAGE

Question

Explanation:

Formulate the inverse variation equation

Test each given coordinate pair

Identify all correct options

Answer: