the dosage for a painkiller is $0.03\text{ mg}$ per kilogram of a patients body mass. how much of the drug should be administered to a patient who is $74\text{ kg}$? round to the nearest tenth of a mg.

$4.1\text{ mg}$
$0.4\text{ mg}$
$22.2\text{ mg}$
$2.2\text{ mg}$

Question

the dosage for a painkiller is $0.03\text{ mg}$ per kilogram of a patients body mass. how much of the drug should be administered to a patient who is $74\text{ kg}$? round to the nearest tenth of a mg.

$4.1\text{ mg}$
$0.4\text{ mg}$
$22.2\text{ mg}$
$2.2\text{ mg}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Dosage Calculation", "Proportional Reasoning" ], "current_concepts": [ "Dosage Calculation", "Proportional Reasoning", "Rounding Decimals" ] } ## Identify given values and target $$ \begin{aligned} &\text{Dosage rate} = 0.03\text{ mg/kg}\ &\text{Patient mass} = 74\text{ kg}\ &\text{Target} = \text{Total dosage in mg (rounded to nearest tenth)} \end{aligned} $$ ## Calculate total dosage $$ \begin{aligned} \text{Total dosage} &= 74\text{ kg} \times 0.03\text{ mg/kg}\ &= 2.22\text{ mg} \end{aligned} $$ ## Round to nearest tenth $$ \begin{aligned} 2.22\text{ mg} \approx 2.2\text{ mg} \end{aligned} $$

(A) 4.1 mg

(B) 0.4 mg

(C) 22.2 mg

(D) 2.2 mg

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Dosage Calculation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify given values and target

Calculate total dosage

Round to nearest tenth

Answer: