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, we use the following conversion formula:

[tex]\[ \text{Celsius} = \frac{5}{9} \times (\text{Fahrenheit} - 32) \][/tex]

In this case, the temperature is [tex]\( 57^\circ F \)[/tex]. Let's plug this number into our formula:

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

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert to Celsius:
[tex]\[
\frac{5}{9} \times 25 \approx 13.8888
\][/tex]

3. Round the Celsius temperature to the nearest whole number:
[tex]\[
\text{Rounded Celsius temperature} = 14
\][/tex]

Therefore, the temperature [tex]\( 57^\circ F \)[/tex] is approximately [tex]\( 14^\circ C \)[/tex] when rounded to the nearest whole number.