y is a direct variation of x. when x=6, y=18. find the value of y when x is 15.

3
36
9
45

Question

y is a direct variation of x. when x=6, y=18. find the value of y when x is 15.

3
36
9
45

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Direct Variation" ], "new_concepts": [], "current_concepts": [ "Direct Variation" ] } ## Set up the direct variation equation Using the *Direct Variation* knowledge point $$ y = kx $$ ## Solve for the constant of variation Using the *Direct Variation* knowledge point $$ \begin{aligned} 18 &= k \cdot 6 \ k &= \frac{18}{6} \ k &= 3 \end{aligned} $$ ## Calculate the value of y when x is 15 Using the *Direct Variation* knowledge point $$ \begin{aligned} y &= 3 \cdot 15 \ y &= 45 \end{aligned} $$

3

36

9

45

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the direct variation equation

Solve for the constant of variation

Calculate the value of y when x is 15

Answer: