The temperature of a normal human body is 37 °C. On the Fahrenheit scale, this…
2018
The temperature of a normal human body is 37 °C. On the Fahrenheit scale, this temperature is:
- A.
98.4 °F
- B.
98.6 °F
- C.
98 °F
- D.
98.8 °F
Attempted by 8 students.
Show answer & explanation
Correct answer: B
Concept
The Celsius and Fahrenheit scales are related by a linear conversion.
For a Celsius temperature C, the Fahrenheit temperature is F = C × 9/5 + 32.
Application
Let C = 37 °C, the temperature given in the question.
Substitute the value: F = 37 × 9/5 + 32.
Calculate the scaled part: 37 × 9/5 = 66.6.
Add the offset: F = 66.6 + 32 = 98.6 °F.
Cross-check
Reverse the conversion: C = (F − 32) × 5/9. For F = 98.6 °F, C = (98.6 − 32) × 5/9 = 37 °C, which reproduces the given temperature.
Therefore, 37 °C equals 98.6 °F.
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