Convert 37.6 C to Fahrenheit. (Remember: In the formula for converting between Fahrenheit and Celsius, the “32” and “1.8” are exact numbers.)
The Correct answer and Explanation is:
To convert Celsius to Fahrenheit, you can use the formula:F=C×1.8+32F = C \times 1.8 + 32F=C×1.8+32
Where:
- FFF is the temperature in Fahrenheit,
- CCC is the temperature in Celsius.
In this case, you are converting 37.6°C to Fahrenheit.
Step-by-Step Calculation:
- Insert the Celsius temperature into the formula:F=37.6×1.8+32F = 37.6 \times 1.8 + 32F=37.6×1.8+32
- Perform the multiplication:37.6×1.8=67.6837.6 \times 1.8 = 67.6837.6×1.8=67.68
- Add 32 to the product:F=67.68+32=99.68F = 67.68 + 32 = 99.68F=67.68+32=99.68
Thus, 37.6°C is approximately 99.68°F.
Explanation:
The conversion from Celsius to Fahrenheit involves a linear transformation that adjusts the temperature scale from one system to another. The Celsius scale is based on the freezing and boiling points of water (0°C and 100°C, respectively), while the Fahrenheit scale sets these points at 32°F and 212°F. Because the two scales have different intervals, a factor of 1.8 is used to convert the degrees.
In the formula F=C×1.8+32F = C \times 1.8 + 32F=C×1.8+32, the 1.81.81.8 (which is the same as 95\frac{9}{5}59) scales the Celsius temperature appropriately. This factor arises from the ratio of the temperature intervals in the two scales: 180°F is equivalent to a change of 100°C. The “+32” adjusts the starting point to align with the freezing point of water on the Fahrenheit scale.
This conversion is particularly useful in fields like medicine, where body temperatures may be recorded in Celsius but need to be understood in the Fahrenheit context, especially in countries using that scale. Understanding how to convert between these scales allows for effective communication and comprehension of temperature-related data in various disciplines.