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 following formula:

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

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

Let's apply this formula to the given temperature:

1. Start with the 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 it to Celsius:

[tex]\[ C = \frac{5}{9} \times 25 \][/tex]

[tex]\[ C = \frac{125}{9} \][/tex]

[tex]\[ C \approx 13.8888 \][/tex]

4. Round the result to the nearest whole number:

[tex]\[ C \approx 14 \][/tex]

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