a streaming service charges $7 per month plus a one-time sign-up fee of $15. which function shows the total cost c after m months?

$c = 15 + 7m$
$c = 7 + 15m$

Question

a streaming service charges $7 per month plus a one-time sign-up fee of $15. which function shows the total cost c after m months?

$c = 15 + 7m$
$c = 7 + 15m$

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 Parameters" ], "new_concepts": [ "Linear Modeling", "Cost Functions" ], "current_concepts": [ "Linear Equation Parameters", "Linear Modeling", "Cost Functions" ] } ## Identify the constant and variable rates Using the *Linear Equation Parameters* knowledge point $$ \begin{aligned} &\text{One-time sign-up fee (constant value, } y\text{-intercept}) = \$15\ &\text{Monthly charge (variable rate, slope)} = \$7 \text{ per month} \end{aligned} $$ ## Formulate the linear cost function Using the *Linear Equation Parameters* knowledge point $$ \begin{aligned} &C = (\text{rate per month}) \cdot m + (\text{one-time fee})\ &C = 7m + 15\ &C = 15 + 7m \end{aligned} $$

(A) $C = 15 + 7m$

(B) $C = 7 + 15m$

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

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Explanation:

Identify the constant and variable rates

Formulate the linear cost function

Answer: