Answer :
Sure! Let's solve the problem step by step.
The goal is to convert Celsius temperatures to Fahrenheit temperatures using the given formula.
The formula to convert temperatures from Celsius to Fahrenheit is:
[tex]\[ F = \left( \frac{9}{5} \right) \times C + 32 \][/tex]
where:
- [tex]\( F \)[/tex] is the Fahrenheit temperature,
- [tex]\( C \)[/tex] is the Celsius temperature.
Now, let's identify the correct equation from the given options:
1. [tex]\( F = C \left( \frac{9}{5} + 32 \right) \)[/tex]
This suggests multiplying the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then adding 32 directly to [tex]\(C\)[/tex], which is incorrect.
2. [tex]\( F = \frac{9}{5} + 32C \)[/tex]
This suggests adding [tex]\(\frac{9}{5}\)[/tex] directly to 32 times the Celsius temperature, which is incorrect.
3. [tex]\( F = \frac{9}{5} (C + 32) \)[/tex]
This suggests taking the sum of [tex]\(C\)[/tex] and 32 first, and then multiplying the result by [tex]\(\frac{9}{5}\)[/tex]. This is not the correct order of operations.
4. [tex]\( F = \frac{9}{5} C + 32 \)[/tex]
This correctly matches our initial formula, where we multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then add 32.
So, the correct equation to convert Celsius temperatures to Fahrenheit temperatures is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
The corresponding choice is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
Therefore, the correct answer is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
The goal is to convert Celsius temperatures to Fahrenheit temperatures using the given formula.
The formula to convert temperatures from Celsius to Fahrenheit is:
[tex]\[ F = \left( \frac{9}{5} \right) \times C + 32 \][/tex]
where:
- [tex]\( F \)[/tex] is the Fahrenheit temperature,
- [tex]\( C \)[/tex] is the Celsius temperature.
Now, let's identify the correct equation from the given options:
1. [tex]\( F = C \left( \frac{9}{5} + 32 \right) \)[/tex]
This suggests multiplying the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then adding 32 directly to [tex]\(C\)[/tex], which is incorrect.
2. [tex]\( F = \frac{9}{5} + 32C \)[/tex]
This suggests adding [tex]\(\frac{9}{5}\)[/tex] directly to 32 times the Celsius temperature, which is incorrect.
3. [tex]\( F = \frac{9}{5} (C + 32) \)[/tex]
This suggests taking the sum of [tex]\(C\)[/tex] and 32 first, and then multiplying the result by [tex]\(\frac{9}{5}\)[/tex]. This is not the correct order of operations.
4. [tex]\( F = \frac{9}{5} C + 32 \)[/tex]
This correctly matches our initial formula, where we multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then add 32.
So, the correct equation to convert Celsius temperatures to Fahrenheit temperatures is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
The corresponding choice is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
Therefore, the correct answer is:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
