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 the temperature from degrees Fahrenheit to degrees Celsius, you can use the conversion formula:

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

Let's apply this formula to the given temperature:

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

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

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\( 25 \times \frac{5}{9} \approx 13.888...\)[/tex]

4. Round the result to the nearest whole number:
The temperature in Celsius is approximately [tex]\( 14^{\circ} C \)[/tex].

So, the temperature [tex]\( 57^{\circ} F \)[/tex] converts to [tex]\( 14^{\circ} C \)[/tex] when rounded to the nearest whole number.