the value of y varies inversely with x, and y = 12 when x = 5.

what is y when x = 4?

y = ?

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

Question

the value of y varies inversely with x, and y = 12 when x = 5.

what is y when x = 4?

y = ?

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

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Inverse Variation", "Constant of Variation" ], "new_concepts": [], "current_concepts": [ "Inverse Variation", "Constant of Variation" ] } ## Find the constant of variation Using the *Constant of Variation* and *Inverse Variation* knowledge points $$ \begin{aligned} y &= \frac{k}{x} \ 12 &= \frac{k}{5} \ k &= 12 \cdot 5 = 60 \end{aligned} $$ ## Calculate the value of y when x is 4 Using the *Inverse Variation* knowledge point $$ \begin{aligned} y &= \frac{60}{x} \ y &= \frac{60}{4} \ y &= 15 \end{aligned} $$ The value of $y$ varies inversely with $x$, and $y = 12$ when $x = 5$. What is $y$ when $x = 4$? $y =$ 15 { "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

Calculate the value of y when x is 4

Answer: