High School

An outside thermometer reads [tex]$57^{\circ} F$[/tex]. What is this temperature in [tex]^{\circ} C[/tex]? Round your answer to the nearest whole number.

A. 14
B. 49
C. 71
D. 135

Answer :

To convert a temperature from Fahrenheit to Celsius, you can use the formula:

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

where [tex]\( F \)[/tex] is the temperature in Fahrenheit, and [tex]\( C \)[/tex] is the temperature in Celsius.

Here's a step-by-step explanation of how to convert [tex]\( 57^{\circ} F \)[/tex] to Celsius:

1. Start with the temperature in Fahrenheit: [tex]\( 57^{\circ} F \)[/tex].

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
57 - 32 = 25
\][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
25 \times \frac{5}{9} = \frac{125}{9} \approx 13.89
\][/tex]

4. Round the result to the nearest whole number:
[tex]\[
\text{Rounded value: } 14
\][/tex]

Therefore, the temperature [tex]\( 57^{\circ} F \)[/tex] is approximately [tex]\( 14^{\circ} C \)[/tex].