for the inverse variation equation $xy = k$, what is the constant of variation, $k$, when $x = -2$ and $y = 5$?

$\bigcirc$ $-10$

$\bigcirc$ $-\frac{2}{5}$

$\bigcirc$ $\frac{5}{2}$

$\bigcirc$ $10$

Question

for the inverse variation equation $xy = k$, what is the constant of variation, $k$, when $x = -2$ and $y = 5$?

$\bigcirc$ $-10$

$\bigcirc$ $-\frac{2}{5}$

$\bigcirc$ $\frac{5}{2}$

$\bigcirc$ $10$

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 $$ \begin{aligned} &\text{Equation: } xy = k\ &x = -2\ &y = 5 \end{aligned} $$ ## Substitute the values to solve for k $$ \begin{aligned} k &= (-2)(5)\ k &= -10 \end{aligned} $$

(A) $-10$

(B) $-\frac{2}{5}$

(C) $\frac{5}{2}$

(D) $10$

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

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Question

Explanation:

Identify the given values and equation

Substitute the values to solve for k

Answer: