Answer :
Sure! To convert the temperature from degrees Celsius to degrees Fahrenheit, you can follow these steps using the formula [tex]\( F = \frac{9}{5} C + 32 \)[/tex].
1. Identify the given temperature in Celsius:
Yuri measured the temperature as 24 degrees Celsius, so [tex]\( C = 24 \)[/tex].
2. Substitute the Celsius value into the formula:
The formula for conversion is [tex]\( F = \frac{9}{5} C + 32 \)[/tex]. Substitute 24 for [tex]\( C \)[/tex]:
[tex]\( F = \frac{9}{5} \times 24 + 32 \)[/tex].
3. Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
Calculate [tex]\(\frac{9}{5} \times 24\)[/tex]:
[tex]\[ \frac{9}{5} \times 24 = 43.2 \][/tex]
4. Add 32 to the result:
Now, add 32 to 43.2 to get the Fahrenheit temperature:
[tex]\[ F = 43.2 + 32 = 75.2 \][/tex]
5. Conclusion:
The temperature of 24 degrees Celsius is equivalent to 75.2 degrees Fahrenheit.
Based on these steps, the correct options for converting Celsius to Fahrenheit in the original problem are:
- Substitute 24 for [tex]\( C \)[/tex].
- Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex] before adding 32.
Optionally checking the statements for correctness:
- [tex]\(24^{\circ} C\)[/tex] is [tex]\(75.2^{\circ} F\)[/tex]. This statement is correct.
Checking all these steps confirms the accurate conversion of [tex]\(24^{\circ} C\)[/tex] to [tex]\(75.2^{\circ} F\)[/tex].
1. Identify the given temperature in Celsius:
Yuri measured the temperature as 24 degrees Celsius, so [tex]\( C = 24 \)[/tex].
2. Substitute the Celsius value into the formula:
The formula for conversion is [tex]\( F = \frac{9}{5} C + 32 \)[/tex]. Substitute 24 for [tex]\( C \)[/tex]:
[tex]\( F = \frac{9}{5} \times 24 + 32 \)[/tex].
3. Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
Calculate [tex]\(\frac{9}{5} \times 24\)[/tex]:
[tex]\[ \frac{9}{5} \times 24 = 43.2 \][/tex]
4. Add 32 to the result:
Now, add 32 to 43.2 to get the Fahrenheit temperature:
[tex]\[ F = 43.2 + 32 = 75.2 \][/tex]
5. Conclusion:
The temperature of 24 degrees Celsius is equivalent to 75.2 degrees Fahrenheit.
Based on these steps, the correct options for converting Celsius to Fahrenheit in the original problem are:
- Substitute 24 for [tex]\( C \)[/tex].
- Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex] before adding 32.
Optionally checking the statements for correctness:
- [tex]\(24^{\circ} C\)[/tex] is [tex]\(75.2^{\circ} F\)[/tex]. This statement is correct.
Checking all these steps confirms the accurate conversion of [tex]\(24^{\circ} C\)[/tex] to [tex]\(75.2^{\circ} F\)[/tex].