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 Fahrenheit temperature is [tex]$F = 57^\circ F$[/tex]. Follow these steps:

1. Substitute [tex]$F = 57$[/tex] into the formula:

[tex]$$
C = \frac{5}{9} (57 - 32).
$$[/tex]

2. Compute the difference inside the parentheses:

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

3. Multiply [tex]$25$[/tex] by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
C = \frac{5}{9} \times 25 \approx 13.88888888888889.
$$[/tex]

4. Finally, round the result to the nearest whole number. Since [tex]$13.88888888888889$[/tex] is approximately [tex]$14$[/tex], the final temperature in Celsius is

[tex]$$
14^\circ C.
$$[/tex]

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