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

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

Let's go through the calculation step-by-step for an outside temperature of [tex]\( 57^\circ F \)[/tex]:

1. Start with the conversion formula:
[tex]\[ C = (57 - 32) \times \frac{5}{9} \][/tex]

2. Subtract 32 from 57:
[tex]\[ 57 - 32 = 25 \][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 25 \times \frac{5}{9} = 13.8888\ldots \][/tex]

4. Finally, round the result to the nearest whole number:
[tex]\[ 13.8888\ldots \approx 14 \][/tex]

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