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

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

Where:
- [tex]\( C \)[/tex] is the temperature in degrees Celsius.
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Here are the step-by-step instructions for this conversion:

1. Start with the given Fahrenheit temperature, which 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]\( 25 \times \frac{5}{9} = 13.88888\ldots \)[/tex]

4. Round the result to the nearest whole number:
Rounding [tex]\( 13.88888\ldots \)[/tex] gives you [tex]\( 14 \)[/tex].

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