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 degrees Fahrenheit ([tex]\(^{\circ}F\)[/tex]) to degrees Celsius ([tex]\(^{\circ}C\)[/tex]), you can use the following formula:

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

Let's apply this formula to the given temperature of [tex]\(57^{\circ}F\)[/tex]:

1. Subtract 32 from the Fahrenheit value:
[tex]\(57 - 32 = 25\)[/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\(25 \times \frac{5}{9} = 13.8888...\)[/tex]

3. Round the result to the nearest whole number:
[tex]\(13.8888...\)[/tex] rounds to [tex]\(14\)[/tex]

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