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

Let's apply this formula to the given temperature:

1. Start with the given temperature in Fahrenheit, which is [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] to convert to Celsius:
[tex]\[
C = \frac{5}{9} \times 25 \approx 13.8889
\][/tex]

4. Round the Celsius temperature to the nearest whole number. Rounding 13.8889 gives us:
[tex]\[
14
\][/tex]

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