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 formula:

[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]

where:
- [tex]\( C \)[/tex] is the temperature in degrees Celsius,
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Let's go through the steps using the given Fahrenheit temperature of [tex]\( 57^\circ F \)[/tex]:

1. Subtract 32 from the Fahrenheit temperature:

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

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

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

3. Calculate the division:

[tex]\[ \frac{125}{9} \approx 13.888 \][/tex]

4. Round the result to the nearest whole number:

13.888 rounds to [tex]\( 14 \)[/tex].

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