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

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

For the given problem, the temperature in Fahrenheit is [tex]\( 57^{\circ} F \)[/tex]. Let's go through the steps to find the equivalent temperature in Celsius:

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

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
25 \times \frac{5}{9} = \frac{125}{9} \approx 13.89
\][/tex]

3. Round the result to the nearest whole number:
The nearest whole number to 13.89 is 14.

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