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 the temperature from Fahrenheit to Celsius, we 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.

1. Start with the given temperature in Fahrenheit, which is [tex]\( 57^{\circ} F \)[/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 convert it to Celsius:

[tex]\[
\frac{125}{9} \approx 13.8889
\][/tex]

5. Finally, round the Celsius temperature to the nearest whole number:

[tex]\[
13.8889 \approx 14
\][/tex]

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