23. a electrical supply store needs to order some cfl lightbulbs. the cost, $c$, in dollars, of the bulbs is $c = 6.50n + 8.76$, where $n$ is the number of bulbs purchased and $8.76$ is the postage needed.
(a) what is the slope of this line?
(b) what is the $y$-intercept?

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{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "y-intercept" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "y-intercept", "Linear Modeling" ] } ## Identify the slope from the linear equation $$ \begin{aligned} &C = 6.50n + 8.76\ &y = mx + b\ &m = 6.50 \end{aligned} $$ ## Identify the y-intercept from the linear equation $$ \begin{aligned} &C = 6.50n + 8.76\ &y = mx + b\ &b = 8.76 \quad \text{or} \quad (0, 8.76) \end{aligned} $$ ## Question 23(a) $6.50$ ## Question 23(b) $8.76$ (or as a coordinate point, $(0, 8.76)$) { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Explanation:

Identify the slope from the linear equation

Identify the y-intercept from the linear equation

Answer:

Question 23(a)

Question 23(b)