35. A client's prescription requires 500 mL of medication. Which of the following is the dosage in gallons? Hint: 1 liter is approximately 0.26 gallons.
Answer: C
The dosage in gallons is 0.13 gallons.
To convert 500 mL of medication to gallons, we first recognize that 1 liter is approximately 0.26 gallons. Since 500 mL is half a liter, we multiply 0.26 by 0.5 to find the equivalent in gallons, resulting in approximately 0.13 gallons.
A) 1.3 gallons
This option is incorrect because it suggests a conversion that is 10 times larger than the correct value. Given that 500 mL is half a liter, the conversion to gallons cannot exceed 0.26 gallons, making 1.3 gallons an unrealistic figure.
B) 130 gallons
This choice is also incorrect as it represents an exaggerated amount that far exceeds the actual conversion. The maximum for 500 mL, when converted, does not approach anywhere near 130 gallons, indicating a significant misunderstanding of the metric to imperial conversion.
C) 0.13 gallons
This option is correct. By converting 500 mL to liters (0.5 liters) and then applying the conversion factor of 0.26 gallons per liter, we accurately derive that 500 mL corresponds to approximately 0.13 gallons.
D) 13 gallons
This option is incorrect as it greatly overestimates the volume of 500 mL. With the correct conversion, the value cannot reach 13 gallons, revealing a fundamental error in understanding the conversion process.
Conclusion
The correct answer is 0.13 gallons, as it accurately reflects the conversion from 500 mL based on the provided metric-to-imperial relationship. All other options represent significant miscalculations, demonstrating a lack of understanding of volume conversion principles.