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]\( F \)[/tex] is the temperature in Fahrenheit, and [tex]\( C \)[/tex] is the temperature in Celsius.

Let's convert [tex]\( 57^{\circ} F \)[/tex] to Celsius step-by-step:

1. Subtract 32 from the Fahrenheit temperature:

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

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

[tex]\( \frac{5}{9} \times 25 = 13.888\ldots \)[/tex]

3. Round the result to the nearest whole number:

When you round [tex]\( 13.888\ldots \)[/tex] to the nearest whole number, you get [tex]\( 14 \)[/tex].

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