Answer :
To convert a temperature from degrees Celsius to degrees Fahrenheit, we need to use a specific conversion formula. Let's go through the steps to understand which equation is correct:
1. Understand the Conversion Formula:
The general formula for converting Celsius (°C) to Fahrenheit (°F) is:
[tex]\[
F = \left(\frac{9}{5}\right) \times C + 32
\][/tex]
2. Break Down the Formula:
- Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex].
- Then, add 32 to the result of the multiplication.
3. Compare with Given Options:
Now, let's compare this standard conversion formula with the given choices:
- [tex]\( F = \frac{9}{5} + 32C \)[/tex]: This formula incorrectly adds 32C to [tex]\(\frac{9}{5}\)[/tex] directly and not in the correct format.
- [tex]\( F = \frac{9}{5}(C + 32) \)[/tex]: This formula is incorrect because it suggests adding 32 to Celsius before multiplying by [tex]\(\frac{9}{5}\)[/tex].
- [tex]\( F = C\left(\frac{9}{5} + 32\right) \)[/tex]: This formula incorrectly implies that 32 is added to [tex]\(\frac{9}{5}\)[/tex] first and then multiplied by Celsius.
- [tex]\( F = \frac{9}{5} C + 32 \)[/tex]: This is the correct formula as it follows the steps of multiplying the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex], then adding 32.
4. Conclusion:
The equation that correctly represents the conversion from Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]
This equation accurately reflects the standard method to convert Celsius to Fahrenheit temperatures.
1. Understand the Conversion Formula:
The general formula for converting Celsius (°C) to Fahrenheit (°F) is:
[tex]\[
F = \left(\frac{9}{5}\right) \times C + 32
\][/tex]
2. Break Down the Formula:
- Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex].
- Then, add 32 to the result of the multiplication.
3. Compare with Given Options:
Now, let's compare this standard conversion formula with the given choices:
- [tex]\( F = \frac{9}{5} + 32C \)[/tex]: This formula incorrectly adds 32C to [tex]\(\frac{9}{5}\)[/tex] directly and not in the correct format.
- [tex]\( F = \frac{9}{5}(C + 32) \)[/tex]: This formula is incorrect because it suggests adding 32 to Celsius before multiplying by [tex]\(\frac{9}{5}\)[/tex].
- [tex]\( F = C\left(\frac{9}{5} + 32\right) \)[/tex]: This formula incorrectly implies that 32 is added to [tex]\(\frac{9}{5}\)[/tex] first and then multiplied by Celsius.
- [tex]\( F = \frac{9}{5} C + 32 \)[/tex]: This is the correct formula as it follows the steps of multiplying the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex], then adding 32.
4. Conclusion:
The equation that correctly represents the conversion from Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]
This equation accurately reflects the standard method to convert Celsius to Fahrenheit temperatures.
