a salesperson earns $200 a week plus a 4% commission on her sales. which equation models the relationship between her sales in a given week, $s$, and her weekly earnings, $e$?

$e = \frac{200s + 4}{100}$

$e = 200s + 4$

$e = 4s + 200$

$e = \frac{4}{100}s + 200$

Question

a salesperson earns $200 a week plus a 4% commission on her sales. which equation models the relationship between her sales in a given week, $s$, and her weekly earnings, $e$?

$e = \frac{200s + 4}{100}$

$e = 200s + 4$

$e = 4s + 200$

$e = \frac{4}{100}s + 200$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Modeling", "Linear Equation Formulation" ], "new_concepts": [], "current_concepts": [ "Linear Modeling", "Linear Equation Formulation" ] } ## Identify the constant and variable components $$ \begin{aligned} &\text{Fixed weekly earnings} = 200\ &\text{Commission rate} = 4\% = \frac{4}{100}\ &\text{Variable sales amount} = s \end{aligned} $$ ## Formulate the linear equation $$ e = \frac{4}{100}s + 200 $$

(A) $e = \frac{200s + 4}{100}$

(B) $e = 200s + 4$

(C) $e = 4s + 200$

(D) $e = \frac{4}{100}s + 200$

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

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Explanation:

Identify the constant and variable components

Formulate the linear equation

Answer: