the equation $y = 4x$ represents the relationship between time, $x$, and distance traveled, $y$. which table represents this relationship?

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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": [ "Proportional Relationship Equation" ], "new_concepts": [ "Representing Proportional Relationships in Tables" ], "current_concepts": [ "Proportional Relationship Equation", "Representing Proportional Relationships in Tables" ] } ## Analyze the given relationship Using the *Proportional Relationship Equation* knowledge point $$ y = 4x $$ ## Evaluate the first table Using the *Proportional Relationship Equation* knowledge point $$ \begin{aligned} &\text{For } x = 0: y = 4(0) = 0 e 4\ &\text{For } x = 2: y = 4(2) = 8\ &\text{For } x = 3: y = 4(3) = 12 \end{aligned} $$ ## Evaluate the second table Using the *Proportional Relationship Equation* knowledge point $$ \begin{aligned} &\text{For } x = 1: y = 4(1) = 4\ &\text{For } x = 2: y = 4(2) = 8\ &\text{For } x = 3: y = 4(3) = 12 e 16 \end{aligned} $$ ## Evaluate the third table Using the *Proportional Relationship Equation* knowledge point $$ \begin{aligned} &\text{For } x = 1: y = 4(1) = 4\ &\text{For } x = 4: y = 4(4) = 16 e 8\ &\text{For } x = 5: y = 4(5) = 20 e 12 \end{aligned} $$ ## Evaluate the fourth table Using the *Proportional Relationship Equation* knowledge point $$ \begin{aligned} &\text{For } x = 2: y = 4(2) = 8\ &\text{For } x = 4: y = 4(4) = 16\ &\text{For } x = 8: y = 4(8) = 32 \end{aligned} $$

(A) Table with rows (0, 4), (2, 8), (3, 12)

(B) Table with rows (1, 4), (2, 8), (3, 16)

(C) Table with rows (1, 4), (4, 8), (5, 12)

(D) Table with rows (2, 8), (4, 16), (8, 32)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Proportional Relationships" ] }

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Question

Explanation:

Analyze the given relationship

Evaluate the first table

Evaluate the second table

Evaluate the third table

Evaluate the fourth table

Answer: