College

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]

Here’s how you can apply this formula to the problem:

1. Start with the given Fahrenheit temperature:
- The temperature 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]:
- [tex]\( 25 \times \frac{5}{9} = 13.88888888888889 \)[/tex]

4. Round the result to the nearest whole number:
- When rounded, [tex]\( 13.88888888888889 \)[/tex] becomes [tex]\( 14 \)[/tex].

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