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 Fahrenheit to Celsius, you can use the conversion formula:

[tex]\[ C = \frac{(F - 32) \times 5}{9} \][/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 result by 9 to get the temperature in Celsius:
[tex]\[
\frac{125}{9} \approx 13.8889
\][/tex]

4. Round the result to the nearest whole number:
[tex]\[
\text{Rounded result} = 14
\][/tex]

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