High School

Adam is in Mexico, where the temperature is given in degrees Celsius. To convert to Fahrenheit, you multiply the Celsius temperature by [tex]\frac{9}{5}[/tex] and add 32.

Which equation can you use to convert Celsius temperatures to Fahrenheit temperatures?

A. [tex]F = \frac{9}{5} + 32C[/tex]
B. [tex]F = \frac{9}{5}(C + 32)[/tex]
C. [tex]F = C\left(\frac{9}{5} + 32\right)[/tex]
D. [tex]F = \frac{9}{5}C + 32[/tex]

Where:
- [tex]F[/tex] is the Fahrenheit temperature.
- [tex]C[/tex] is the Celsius temperature.

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.