a wastewater pond is designed to serve a population of 5600. if the desired population loading is 300 people per acre, how many acres of pond will be required?

25.4 acres
12.6 acres
44.2 acres
18.7 acres

Question

a wastewater pond is designed to serve a population of 5600. if the desired population loading is 300 people per acre, how many acres of pond will be required?

25.4 acres
12.6 acres
44.2 acres
18.7 acres

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Population Loading Rate" ], "new_concepts": [], "current_concepts": [ "Population Loading Rate" ] } ## Identify given parameters and formula $$ \begin{aligned} &\text{Population} = 5600 \text{ people} \ &\text{Population Loading Rate} = 300 \text{ people/acre} \ &\text{Required Area (acres)} = \frac{\text{Population}}{\text{Population Loading Rate}} \end{aligned} $$ ## Calculate the required pond area $$ \begin{aligned} \text{Area} &= \frac{5600}{300} \ \text{Area} &\approx 18.67 \text{ acres} \end{aligned} $$ ## Match with the closest option $$ 18.67 \text{ acres} \approx 18.7 \text{ acres} $$

25.4 acres

12.6 acres

44.2 acres

18.7 acres

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Population Loading Rate" ] }

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QUESTION IMAGE

Question

Explanation:

Identify given parameters and formula

Calculate the required pond area

Match with the closest option

Answer: