a rule for creating a pattern is given below.

rule: multiply $x$ by 2. then add 10 to the result to get $y$.

which ordered pair, $(x, y)$, works for the rule?

choose 1 answer:

a $(12, 1)$

b $(3, 16)$

c $(2, 24)$

Question

a rule for creating a pattern is given below.

rule: multiply $x$ by 2. then add 10 to the result to get $y$.

which ordered pair, $(x, y)$, works for the rule?

choose 1 answer:

a $(12, 1)$

b $(3, 16)$

c $(2, 24)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Rules", "Input-Output Relationships" ], "new_concepts": [], "current_concepts": [ "Algebraic Rules", "Input-Output Relationships", "Pattern Rules" ] } ## Translate rule to equation $$ y = 2x + 10 $$ ## Test ordered pairs $$ \begin{aligned} &\text{For } (12, 1): 2(12) + 10 = 34 eq 1 \ &\text{For } (3, 16): 2(3) + 10 = 16 = 16 \ &\text{For } (2, 24): 2(2) + 10 = 14 eq 24 \end{aligned} $$ ## Identify correct option $$ (3, 16) \text{ is correct.} $$

(A) $(12, 1)$

(B) $(3, 16)$

(C) $(2, 24)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Input-Output Relationships" ] }

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QUESTION IMAGE

Question

Explanation:

Translate rule to equation

Test ordered pairs

Identify correct option

Answer: