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 following formula:

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

Let's apply this formula to convert [tex]\( 57^{\circ} F \)[/tex] into Celsius:

1. Start with the temperature in Fahrenheit: [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]

4. Calculate the result by performing the multiplication:

[tex]\[ 25 \times \frac{5}{9} \approx 13.888 \][/tex]

5. Finally, round the result to the nearest whole number:

[tex]\[ \text{Rounded: } 14 \][/tex]

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