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, you can use the following conversion formula:

[tex]\[
\text{Celsius} = \frac{(\text{Fahrenheit} - 32) \times 5}{9}
\][/tex]

Let's calculate the temperature in Celsius step-by-step:

1. Start with the Fahrenheit temperature: The thermometer reads [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:
[tex]\[
\frac{125}{9} \approx 13.888
\][/tex]

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

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