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

Here's how you can apply this formula step by step to convert [tex]\(57^\circ F\)[/tex] to Celsius:

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

2. Multiply the result by 5:
[tex]\(25 \times 5 = 125\)[/tex]

3. Divide the product by 9 to find the Celsius temperature:
[tex]\(\frac{125}{9} \approx 13.8888\ldots\)[/tex]

4. Round the result to the nearest whole number:
When rounded, [tex]\(13.8888\ldots\)[/tex] becomes [tex]\(14\)[/tex].

Therefore, [tex]\(57^\circ F\)[/tex] is approximately [tex]\(14^\circ C\)[/tex].