a lemonade stand starts the day with \$10 in earnings and makes \$2 for each cup of lemonade sold. write a linear function rule that represents the total earnings, y, after x cups are sold.

slope-intercept form
$y = mx + b$

$y = ?x + \box$

Question

a lemonade stand starts the day with \$10 in earnings and makes \$2 for each cup of lemonade sold. write a linear function rule that represents the total earnings, y, after x cups are sold.

slope-intercept form
$y = mx + b$

$y = ?x + \box$

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": [], "current_concepts": [ "Slope-Intercept Form", "Linear Functions" ] } ## Identify the rate of change and initial value $$ \begin{aligned} &\text{Rate of change } (m) = 2 \ &\text{Initial value } (b) = 10 \end{aligned} $$ ## Substitute into slope-intercept form $$ \begin{aligned} &y = mx + b \ &y = 2x + 10 \end{aligned} $$ ## Determine the value for the requested blank $$ \text{Coefficient of } x = 2 $$ A lemonade stand starts the day with $10 in earnings and makes $2 for each cup of lemonade sold. Write a linear function rule that represents the total earnings, y, after x cups are sold. $y =$ 2$x + 10$ { "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 into slope-intercept form

Determine the value for the requested blank

Answer: