a doctor prescribes 4 liters of a solution for a treatment, but the equipment uses gallons. how many gallons is this? round your solution to three decimal places if needed.

use the conversion factor 1 gal = 3.79 l.

2 gal
4 gal
15.16 gal
1.055 gal

Question

a doctor prescribes 4 liters of a solution for a treatment, but the equipment uses gallons. how many gallons is this? round your solution to three decimal places if needed.

use the conversion factor 1 gal = 3.79 l.

2 gal
4 gal
15.16 gal
1.055 gal

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion" ], "new_concepts": [], "current_concepts": [ "Unit Conversion", "Proportional Reasoning" ] } ## Identify the given values and conversion factor $$ \begin{aligned} &\text{Target volume} = 4\text{ L}\ &\text{Conversion factor: } 1\text{ gal} = 3.79\text{ L} \end{aligned} $$ ## Set up the conversion ratio $$ \begin{aligned} &\text{Volume in gallons} = 4\text{ L} \times \frac{1\text{ gal}}{3.79\text{ L}} \end{aligned} $$ ## Calculate and round the result $$ \begin{aligned} &\text{Volume in gallons} = \frac{4}{3.79}\text{ gal} \approx 1.05540897\text{ gal}\ &\text{Rounded to three decimal places} = 1.055\text{ gal} \end{aligned} $$

(A) 2 gal

(B) 4 gal

(C) 15.16 gal

(D) 1.055 gal

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Unit Conversion" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and conversion factor

Set up the conversion ratio

Calculate and round the result

Answer: