the value of y varies inversely with x, and y = 25 when x = 2.

what is y when x = 10?

y = ?

remember: y = \frac{k}{x}

Question

the value of y varies inversely with x, and y = 25 when x = 2.

what is y when x = 10?

y =  ?

remember: y = \frac{k}{x}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Inverse Variation", "Constant of Variation" ], "current_concepts": [ "Inverse Variation", "Constant of Variation" ] } ## Find the constant of variation $k$ $$ \begin{aligned} y &= \frac{k}{x} \ 25 &= \frac{k}{2} \ k &= 25 \cdot 2 = 50 \end{aligned} $$ ## Calculate the value of $y$ when $x = 10$ $$ \begin{aligned} y &= \frac{50}{10} \ y &= 5 \end{aligned} $$ The value of y varies inversely with x, and y = 25 when x = 2. What is y when x = 10? y = 5 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Find the constant of variation \(k\)

Calculate the value of \(y\) when \(x = 10\)

Answer: