College

An outside thermometer reads [tex]$57^{\circ} F$[/tex]. What is this temperature in [tex]^{\circ} C[/tex]? Round your answer.

A. 14
B. 49
C. 71
D. 135

Answer :

To convert the temperature from Fahrenheit to Celsius, you can use the formula:

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

Let's apply this formula to the given temperature:

1. Start with the Fahrenheit temperature: 57°F.
2. Subtract 32 from the Fahrenheit temperature:

[tex]\[ 57 - 32 = 25 \][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[ 25 \times \frac{5}{9} = \frac{125}{9} \approx 13.8888\ldots \][/tex]

4. Round the result to the nearest whole number:

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

So, the temperature 57°F is approximately 14°C when rounded to the nearest whole number.