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?

- [tex]F = \frac{9}{5}(C+32)[/tex]
- [tex]F = \frac{9}{5} + 32C[/tex]
- [tex]F = \frac{9}{5}C + 32[/tex]
- [tex]F = C\left(\frac{9}{5} + 32\right)[/tex]

Certainly! The problem is about converting temperatures from Celsius to Fahrenheit. To do this, we use a specific formula:

The formula to convert degrees Celsius (C) to degrees Fahrenheit (F) is:

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

Let's break down this formula:

1. Multiplication Step:
- First, you multiply the Celsius temperature (C) by [tex]\(\frac{9}{5}\)[/tex].
- This step takes into account the ratio of the scales of Fahrenheit and Celsius.

2. Addition Step:
- Then, you add 32 to the result of the multiplication.
- This adjustment is necessary because 0 degrees Celsius is equivalent to 32 degrees Fahrenheit.

Now let's match the formula to the options given in the question. We have:

- [tex]\( F = \frac{9}{5}(C+32) \)[/tex]
- [tex]\( F = \frac{9}{5} + 32C \)[/tex]
- [tex]\( F = \frac{9}{5}C + 32 \)[/tex]
- [tex]\( F = C\left(\frac{9}{5} + 32\right) \)[/tex]

Based on the correct conversion formula [tex]\[ F = \frac{9}{5} \times C + 32 \][/tex], the answer is:

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

This matches with the third option. Therefore, the correct equation to use for converting Celsius temperatures to Fahrenheit is:

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