High School

Adán está en México, donde la temperatura se expresa en grados Celsius. Para convertirlos a Fahrenheit, hay que multiplicar la temperatura en Celsius por [tex]\frac{9}{5}[/tex] y sumar 32.

¿Qué ecuación se puede usar para convertir temperaturas en Celsius a temperaturas en Fahrenheit?

- [tex]F = C\left(\frac{9}{5}+32\right)[/tex]
- [tex]F = \frac{9}{5}+32C[/tex]
- [tex]F = \text{temperatura en Fahrenheit}[/tex]
- [tex]C = \text{temperatura en Celsius}[/tex]
- [tex]\begin{array}{l} F = \frac{9}{5}(C + 32) \\ F = \frac{9}{5} C + 32 \end{array}[/tex]

Answer :

To convert temperatures from Celsius to Fahrenheit, you need to use the following formula:

[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]

where:
- [tex]\( F \)[/tex] represents the temperature in Fahrenheit,
- [tex]\( C \)[/tex] represents the temperature in Celsius.

Let's analyze each of the equations provided in the question to identify the correct conversion formula:

1. [tex]\( F = C \left( \frac{9}{5} + 32 \right) \)[/tex]:
- This equation incorrectly adds 32 inside the multiplication with Celsius, which is not correct.

2. [tex]\( F = \frac{9}{5} + 32 C \)[/tex]:
- This equation incorrectly places 32 as a multiplier of Celsius, which is not accurate for the conversion process.

3. [tex]\( F = \frac{9}{5}(C+32) \)[/tex]:
- This equation mistakenly adds 32 to Celsius before multiplying by [tex]\(\frac{9}{5}\)[/tex]. This is not the correct order of operations for the conversion.

4. [tex]\( F = \frac{9}{5} C + 32 \)[/tex]:
- This is the correct formula. It first multiplies Celsius by [tex]\(\frac{9}{5}\)[/tex] and then adds 32, which is exactly what the conversion method requires.

Therefore, the equation that can be used for converting temperatures from Celsius to Fahrenheit is:

[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]