writing linear function rules using events

a crafter buys a sewing kit for \$8 and spends \$3 per yard of fabric. write a linear function rule that gives the total cost, y, of the sewing kit and x yards of fabric.

slope-intercept form
$y = mx + b$

$y = ?x + \square$

Question

writing linear function rules using events

a crafter buys a sewing kit for \$8 and spends \$3 per yard of fabric. write a linear function rule that gives the total cost, y, of the sewing kit and x yards of fabric.

slope-intercept form
$y = mx + b$

$y = ?x + \square$

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", "Linear Function Rules" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Function Rules" ] } ## Identify the rate of change and initial value $$ \begin{aligned} &m = 3 \quad \text{(cost per yard of fabric)} \ &b = 8 \quad \text{(initial cost of the sewing kit)} \end{aligned} $$ ## Substitute into slope-intercept form $$ \begin{aligned} &y = mx + b \ &y = 3x + 8 \end{aligned} $$ A crafter buys a sewing kit for $8 and spends $3 per yard of fabric. Write a linear function rule that gives the total cost, y, of the sewing kit and x yards of fabric. $y =$ 3$x +$ 8 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Function Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the rate of change and initial value

Substitute into slope-intercept form

Answer: