High School

Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?

A. 5 degrees Celsius
B. 10 degrees Celsius
C. 15 degrees Celsius
D. 20 degrees Celsius

Answer :

For this case, we have by definition that:

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

If they tell us that the base temperature is 50 degrees Fahrenheit, then we substitute:

[tex]C = (50-32) * \frac {5} {9}\\C = 18 * \frac {5} {9}\\C = 2 * 5\\C = 10[/tex]

Finally, the temperature equals 10 degrees Celsius.

Answer:

10 degrees Celsius

Final answer:

The temperature in Celsius when it is 50 degrees Fahrenheit is 10 degrees Celsius, calculated using the conversion formula Celsius = (Fahrenheit - 32) × 5/9.

Explanation:

To convert a temperature from Fahrenheit to Celsius, we use the formula: Celsius = (Fahrenheit - 32) × 5/9. If the temperature is 50 degrees Fahrenheit, we subtract 32 from 50, giving us 18. Then we multiply 18 by 5/9, resulting in 10. Therefore, the temperature in Celsius is 10 degrees Celsius.

Step-by-step conversion:

  1. Start with the Fahrenheit temperature: 50°F.
  2. Subtract 32 from the Fahrenheit temperature: 50 - 32 = 18.
  3. Multiply by 5/9 to convert to Celsius: 18 × 5/9 = 10°C.

Thus, when the temperature is 50°F, it is equivalent to 10°C.