a plumber charges a $45 fee to make a house call and then $25 for each hour of labor. the plumber uses an equation in the form $y = mx + b$ to determine the amount to charge each customer.

what is the value of $m$ in the equation?

$m = \$$

Question

a plumber charges a $45 fee to make a house call and then $25 for each hour of labor. the plumber uses an equation in the form $y = mx + b$ to determine the amount to charge each customer.

what is the value of $m$ in the equation?

$m = \$$

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", "Rate of Change", "Linear Modeling" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Rate of Change", "Linear Modeling" ] } ## Identify the components of the linear equation $$ \begin{aligned} &\text{Total cost } (y) = m \cdot (\text{hours of labor } x) + b\ &\text{Flat fee (initial value } b) = 45\ &\text{Hourly rate (rate of change } m) = 25 \end{aligned} $$ ## Determine the value of m $$ m = 25 $$ A plumber charges a \$45 fee to make a house call and then \$25 for each hour of labor. The plumber uses an equation in the form $y = mx + b$ to determine the amount to charge each customer. What is the value of $m$ in the equation? $m = \$$ 25 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Question

Explanation:

Identify the components of the linear equation

Determine the value of m

Answer: