High School

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

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

Here’s a step-by-step guide to solve the problem:

1. Start with the given temperature in Fahrenheit:
- [tex]\( F = 57^\circ F \)[/tex]

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

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
- [tex]\( \frac{5}{9} \times 25 = \frac{125}{9} \approx 13.8889 \)[/tex]

4. Round the result to the nearest whole number:
- [tex]\( 13.8889\)[/tex] rounds to [tex]\( 14 \)[/tex].

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