ashley started the year with 45 comic books. each month, she adds 5 more comic books to her collection. which table correctly represents $y$, the number of comic books in her collection, after $x$ months?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Modeling", "Initial Value", "Rate of Change" ], "new_concepts": [], "current_concepts": [ "Linear Modeling", "Initial Value", "Rate of Change" ] } ## Determine the linear equation $$ \begin{aligned} &\text{Initial Value } (b) = 45\ &\text{Rate of Change } (m) = 5\ &y = 5x + 45 \end{aligned} $$ ## Evaluate the table values $$ \begin{aligned} &x = 0 \implies y = 5(0) + 45 = 45\ &x = 1 \implies y = 5(1) + 45 = 50\ &x = 2 \implies y = 5(2) + 45 = 55\ &x = 3 \implies y = 5(3) + 45 = 60 \end{aligned} $$ ## Match with the correct option $$ \text{Table 2 matches: } (0, 45), (1, 50), (2, 55), (3, 60) $$

(A) Table with $x = [0, 1, 2, 3]$ and $y = [5, 50, 95, 140]$

(B) Table with $x = [0, 1, 2, 3]$ and $y = [45, 50, 55, 60]$

(C) Table with $x = [0, 5, 10, 15]$ and $y = [45, 46, 47, 48]$

(D) Table with $x = [0, 5, 10, 15]$ and $y = [45, 90, 135, 180]$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Modeling" ] }

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Explanation:

Determine the linear equation

Evaluate the table values

Match with the correct option

Answer: