for the inverse variation equation $xy = k$, what is the value of $x$ when $y = 4$ and $k = 7$?

$\frac{4}{7}$

$\frac{7}{4}$

3

28

Question

for the inverse variation equation $xy = k$, what is the value of $x$ when $y = 4$ and $k = 7$?

$\frac{4}{7}$

$\frac{7}{4}$

3

28

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" ] } ## Substitute the given values into the equation $$ \begin{aligned} xy &= k \ x(4) &= 7 \end{aligned} $$ ## Solve for x $$ \begin{aligned} 4x &= 7 \ x &= \frac{7}{4} \end{aligned} $$

(A) $\frac{4}{7}$

(B) $\frac{7}{4}$

(C) 3

(D) 28

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

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