writing linear function rules using events

a student buys a $12 sketchbook and spends $3 per pencil. write a linear function rule that describes the total cost, y, of the sketchbook and x pencils.

slope-intercept form
y = mx + b

y = ? x +

Question

writing linear function rules using events

a student buys a $12 sketchbook and spends $3 per pencil. write a linear function rule that describes the total cost, y, of the sketchbook and x pencils.

slope-intercept form
y = mx + b

y =  ? x +

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [ "Linear Function Rules" ], "current_concepts": [ "Slope-Intercept Form", "Linear Function Rules" ] } ## Identify the rate of change and initial value $$ \begin{aligned} &\text{Rate of change (cost per pencil, } m) = 3\ &\text{Initial value (cost of sketchbook, } b) = 12 \end{aligned} $$ ## Substitute values into slope-intercept form $$ \begin{aligned} &y = mx + b\ &y = 3x + 12 \end{aligned} $$ A student buys a $12 sketchbook and spends $3 per pencil. Write a linear function rule that describes the total cost, $y$, of the sketchbook and $x$ pencils. $y =$ $3$$x +$ $12$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the rate of change and initial value

Substitute values into slope-intercept form

Answer: