a certain drug is used to treat a bacterial infection. a doctor orders $300\text{ mg}$ every $6\text{ hrs}$. how many grams of the drug would be given in $1\text{ wk}$?

$\bigcirc$ $84\text{ g}$
$\bigcirc$ $12\text{ g}$
$\bigcirc$ $8.4\text{ g}$
$\bigcirc$ $1.2\text{ g}$

Question

a certain drug is used to treat a bacterial infection. a doctor orders $300\text{ mg}$ every $6\text{ hrs}$. how many grams of the drug would be given in $1\text{ wk}$?

$\bigcirc$ $84\text{ g}$
$\bigcirc$ $12\text{ g}$
$\bigcirc$ $8.4\text{ g}$
$\bigcirc$ $1.2\text{ g}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion", "Dimensional Analysis" ], "new_concepts": [], "current_concepts": [ "Unit Conversion", "Dimensional Analysis" ] } ## Calculate total doses per week Using the *Dimensional Analysis* knowledge point $$ \text{Doses per week} = 1\text{ wk} \times \frac{7\text{ days}}{1\text{ wk}} \times \frac{24\text{ hrs}}{1\text{ day}} \times \frac{1\text{ dose}}{6\text{ hrs}} = 28\text{ doses} $$ ## Convert total mass to grams Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \text{Total mass} = 28\text{ doses} \times \frac{300\text{ mg}}{1\text{ dose}} \times \frac{1\text{ g}}{1000\text{ mg}} = 8.4\text{ g} $$

(A) 84 g

(B) 12 g

(C) 8.4 g

(D) 1.2 g

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Dimensional Analysis" ] }

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Question

Explanation:

Calculate total doses per week

Convert total mass to grams

Answer: