the table below shows the predicted number of words janae can type, (y), in (x) minutes.

which describes the pattern in the table?

janae types 25 words each minute.
janae types 30 words each minute.
janae types 145 words each minute.
janae types 150 words each minute.

Question

the table below shows the predicted number of words janae can type, (y), in (x) minutes.

which describes the pattern in the table?

janae types 25 words each minute.
janae types 30 words each minute.
janae types 145 words each minute.
janae types 150 words each minute.

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": [ "Linear Equation from Table" ], "new_concepts": [ "Unit Rate from Table" ], "current_concepts": [ "Linear Equation from Table", "Unit Rate from Table" ] } ## Identify the given variables Using the *Linear Equation from Table* knowledge point $$ \begin{aligned} &\text{Let } x = \text{Time in minutes}\ &\text{Let } y = \text{Words typed} \end{aligned} $$ ## Calculate the rate of change Using the *Linear Equation from Table* knowledge point $$ \begin{aligned} &\text{Rate} = \frac{\Delta y}{\Delta x} = \frac{300 - 150}{10 - 5} = \frac{150}{5} = 30\text{ words per minute} \end{aligned} $$ ## Verify the rate for other data points Using the *Linear Equation from Table* knowledge point $$ \begin{aligned} &\frac{450}{15} = 30\ &\frac{600}{20} = 30 \end{aligned} $$

Janae types 25 words each minute.

Janae types 30 words each minute.

Janae types 145 words each minute.

Janae types 150 words each minute.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation from Table" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given variables

Calculate the rate of change

Verify the rate for other data points

Answer: