enter the correct answer in the box.

facundo crochets and sells baby blankets, $b$. each blanket requires 3 skeins of yarn, and the total number of skeins facundo uses, $y$, varies directly as the number of blankets he crochets, $b$.

write an equation that models this relationship.

Question

enter the correct answer in the box.

facundo crochets and sells baby blankets, $b$. each blanket requires 3 skeins of yarn, and the total number of skeins facundo uses, $y$, varies directly as the number of blankets he crochets, $b$.

write an equation that models this relationship.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Mathematical Modeling" ], "new_concepts": [ "Direct Variation" ], "current_concepts": [ "Mathematical Modeling", "Direct Variation" ] } ## Identify the variables and relationship $$ \begin{aligned} &\text{Let } b = \text{number of blankets crochets}\ &\text{Let } y = \text{total number of skeins of yarn used}\ &\text{Given: } y \text{ varies directly as } b \implies y = k \cdot b \end{aligned} $$ ## Determine the constant of variation $$ \begin{aligned} &\text{Each blanket requires } 3 \text{ skeins of yarn} \implies k = 3 \end{aligned} $$ ## Write the final equation $$ y = 3b $$ Enter the correct answer in the box. Facundo crochets and sells baby blankets, $b$. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, $y$, varies directly as the number of blankets he crochets, $b$. Write an equation that models this relationship. $y = 3b$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Direct Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the variables and relationship

Determine the constant of variation

Write the final equation

Answer: