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{ "quality": "blurry", "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", "Unit Rate", "Proportional Relationships" ] } ## Determine the unit price of yarn $$ \text{Unit Price} = \frac{\$7}{2\text{ balls}} = \$3.50\text{ per ball} $$ ## Verify proportionality with the second data point $$ \text{Cost for 8 balls} = 8 \times \$3.50 = \$28 $$ ## Calculate the cost for 20 balls of yarn $$ \text{Total Cost} = 20 \times \$3.50 = \$70 $$

(A) $49

(B) $56

(C) $70

(D) $140

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

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Question

Explanation:

Determine the unit price of yarn

Verify proportionality with the second data point

Calculate the cost for 20 balls of yarn

Answer: