if y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

$\frac{1}{5}$

$\frac{4}{5}$

5

16

Question

if y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

$\frac{1}{5}$

$\frac{4}{5}$

5

16

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Direct Variation" ], "new_concepts": [], "current_concepts": [ "Direct Variation" ] } ## Set up the direct variation equation $$ y = kx $$ ## Substitute the given values and solve for k $$ \begin{aligned} 20 &= k(4) \ k &= \frac{20}{4} \ k &= 5 \end{aligned} $$

(A) $\frac{1}{5}$

(B) $\frac{4}{5}$

(C) 5

(D) 16

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

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QUESTION IMAGE

Question

Explanation:

Set up the direct variation equation

Substitute the given values and solve for k

Answer: