Body temperature is usually maintained between 36.3°?? ?and 37.6°??, ?inclusive. Determine the corresponding range of temperatures in Fahrenheit. Use the relationship between degrees Celsius ?? ?and degrees Fahrenheit ??:??=59(??-32). ?Round your answers to two decimal places, if necessary.
Normal body temperature is between ,°?? ?and Choose one grad
The Correct Answer and Explanation is :
To determine the corresponding range of body temperatures in Fahrenheit, we will use the relationship between degrees Celsius (C) and degrees Fahrenheit (F). The formula for converting Celsius to Fahrenheit is:
[
F = \frac{9}{5}(C) + 32
]
Step 1: Convert the lower Celsius temperature (36.3°C)
Substitute 36.3°C into the formula:
[
F = \frac{9}{5}(36.3) + 32
]
[
F = 65.34 + 32
]
[
F = 97.34°F
]
So, 36.3°C corresponds to 97.34°F.
Step 2: Convert the upper Celsius temperature (37.6°C)
Substitute 37.6°C into the formula:
[
F = \frac{9}{5}(37.6) + 32
]
[
F = 67.68 + 32
]
[
F = 99.68°F
]
So, 37.6°C corresponds to 99.68°F.
Final Answer:
Normal body temperature is between 97.34°F and 99.68°F.
Explanation:
Body temperature is typically maintained between 36.3°C and 37.6°C. In many health assessments and clinical settings, temperatures are measured in Fahrenheit, especially in countries like the United States. Since the Celsius scale is more commonly used in scientific and medical contexts, conversion between Celsius and Fahrenheit is necessary for comparison and consistency across different measurement systems.
The formula used for the conversion, (F = \frac{9}{5}(C) + 32), accounts for the different rate of change between the two scales. A 1°C increase results in a 1.8°F increase, and the 32° offset ensures the correct zero point for each scale. The calculated temperature range in Fahrenheit helps clinicians and healthcare providers assess whether a patient’s body temperature falls within the normal range, indicating no fever or hypothermia.