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 [tex]$57^\circ F$[/tex] to Celsius, we use the conversion formula:

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

where [tex]$F$[/tex] is the temperature in Fahrenheit.

1. First, subtract [tex]$32$[/tex] from [tex]$57$[/tex]:

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

2. Next, multiply the result by [tex]$5$[/tex]:

[tex]$$
25 \times 5 = 125
$$[/tex]

3. Then, divide by [tex]$9$[/tex]:

[tex]$$
\frac{125}{9} \approx 13.8889
$$[/tex]

4. Finally, rounding [tex]$13.8889$[/tex] to the nearest whole number gives:

[tex]$$
14
$$[/tex]

So, the temperature in Celsius is [tex]$\boxed{14^\circ C}$[/tex].