a streaming service charges $15 each month with no sign-up fee.

is the total cost proportional to the number of months?

yes / no

explain:

Question

a streaming service charges $15 each month with no sign-up fee.

is the total cost proportional to the number of months?

yes / no

explain:

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": [ "Proportional Relationships", "Constant of Proportionality" ], "new_concepts": [], "current_concepts": [ "Proportional Relationships", "Constant of Proportionality", "Linear Modeling" ] } ## Define variables and relationship Using the *Proportional Relationships* knowledge point $$ \begin{aligned} &x = \text{number of months}\ &y = \text{total cost in dollars}\ &y = 15x \end{aligned} $$ ## Verify proportionality condition Using the *Constant of Proportionality* knowledge point $$ \begin{aligned} &\frac{y}{x} = 15 \quad (\text{constant ratio})\ &y = 0 \quad \text{when} \quad x = 0 \end{aligned} $$

Yes

No

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Proportional Relationships" ] }

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QUESTION IMAGE

Question

Explanation:

Define variables and relationship

Verify proportionality condition

Answer: