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 conversion formula:

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

Let's go through the steps to apply this formula to the problem:

1. Start with the given temperature in Fahrenheit:
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 [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 25 \times \frac{5}{9} \][/tex]

This calculation gives the temperature in Celsius.

4. Calculate the result:
[tex]\[ 25 \times \frac{5}{9} = 13.888... \][/tex]

5. Round the Celsius temperature to the nearest whole number:
Rounding 13.888... to the nearest whole number gives us 14.

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