for spring cleanups, a landscaper charges a flat fee of \$60 plus \$20 for each hour of labor. which equation models the cost in dollars, $c$, for a cleanup that requires $h$ hours of labor?

$c = \frac{h}{20} + 60$

$c = \frac{20}{h} + 60$

$c = 20h + 60$

$c = 20 + 60h$

Question

for spring cleanups, a landscaper charges a flat fee of \$60 plus \$20 for each hour of labor. which equation models the cost in dollars, $c$, for a cleanup that requires $h$ hours of labor?

$c = \frac{h}{20} + 60$

$c = \frac{20}{h} + 60$

$c = 20h + 60$

$c = 20 + 60h$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Slope-Intercept Form", "Rate of Change", "Initial Value" ] } ## Identify the rate of change and initial value $$ \begin{aligned} &\text{Rate of change (cost per hour of labor)} = 20\ &\text{Initial value (flat fee)} = 60 \end{aligned} $$ ## Formulate the linear equation $$ c = 20h + 60 $$

(A) $c = \frac{h}{20} + 60$

(B) $c = \frac{20}{h} + 60$

(C) $c = 20h + 60$

(D) $c = 20 + 60h$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Identify the rate of change and initial value

Formulate the linear equation

Answer: