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

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

Let's apply this formula to the given problem:

1. Start with the temperature in Fahrenheit:
The thermometer reads [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]\( \frac{5}{9} \times 25 = 13.8888...\)[/tex]

4. Round the result to the nearest whole number:
The number [tex]\( 13.8888...\)[/tex] rounds to [tex]\( 14 \)[/tex].

So, the temperature in Celsius is approximately [tex]\( 14^\circ C \)[/tex]. Therefore, the correct answer is:

14