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, we use the formula:

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

Here, the given Fahrenheit temperature is [tex]$57^\circ F$[/tex]. Follow these steps:

1. Subtract [tex]$32$[/tex] from the Fahrenheit temperature:

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

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

[tex]$$
25 \times \frac{5}{9} = \frac{125}{9} \approx 13.8889
$$[/tex]

3. Round [tex]$13.8889$[/tex] to the nearest whole number:

[tex]$$
\text{Rounded value} = 14
$$[/tex]

Thus, the temperature of [tex]$57^\circ F$[/tex] is approximately [tex]$14^\circ C$[/tex].