given $x$ varies inversely with $y$ and $xy = 2$, what is the value of $x$ when $y = 1$?

-1
$\frac{1}{2}$
1
2

Question

given $x$ varies inversely with $y$ and $xy = 2$, what is the value of $x$ when $y = 1$?

-1
$\frac{1}{2}$
1
2

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 equation $$ xy = 2 $$ ## Substitute the given value of y $$ x(1) = 2 $$ ## Solve for x $$ x = 2 $$

(A) -1

(B) $\frac{1}{2}$

(C) 1

(D) 2

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

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QUESTION IMAGE

Question

Explanation:

Identify the given equation

Substitute the given value of y

Solve for x

Answer: