College

Given: [tex]C=\frac{5}{9}(F-32)[/tex]. Find the corresponding temperature in Celsius for a temperature of 311 degrees Fahrenheit.

A. 130 degrees Celsius
B. 155 degrees Celsius
C. 184 degrees Celsius
D. 118 degrees Celsius

Answer :

To find the corresponding temperature in Celsius for 311 degrees Fahrenheit, we can use the formula for converting Fahrenheit to Celsius:

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

Let's apply this formula step-by-step:

1. Start with the temperature in Fahrenheit:
[tex]\( F = 311 \)[/tex]

2. Subtract 32 from the Fahrenheit temperature:
[tex]\( 311 - 32 = 279 \)[/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\( C = \frac{5}{9} \times 279 \)[/tex]

4. Calculate the multiplication:
[tex]\( C = \frac{5 \times 279}{9} = 155 \)[/tex]

Hence, the corresponding temperature for 311 degrees Fahrenheit is 155 degrees Celsius.

The correct answer is (B) 155 degrees Celsius.