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 formula:

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

Where [tex]\( C \)[/tex] is the temperature in degrees Celsius and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit. Let's apply this formula to convert [tex]\( 57^{\circ} F \)[/tex] to Celsius:

1. Start with the given temperature in Fahrenheit:
[tex]\[
F = 57
\][/tex]

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

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

4. Divide the result by 9 to find the temperature in Celsius:
[tex]\[
\frac{125}{9} \approx 13.8889
\][/tex]

5. Finally, round the result to the nearest whole number. Since 13.8889 is closer to 14 than to 13, we round up to get:
[tex]\[
14
\][/tex]

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