What will the temperature be in degrees Fahrenheit when it is [tex]80^{\circ}[/tex] Celsius outside? (Recall the formula [tex]F = \frac{9}{5}C + 32[/tex]).

a. [tex]1766^{-}[/tex] Fahrenheit
b. [tex]76.0^{\circ}[/tex] Fahrenheit
c. [tex]150.4^{\circ}[/tex] Fahrenheit
d. [tex]201.6^{\circ}[/tex] Fahrenheit

Please select the best answer from the choices provided:
A
B
C
D

Answer :

To convert a temperature from Celsius to Fahrenheit, you can use the formula:

[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]

where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit, and [tex]\( C \)[/tex] is the temperature in degrees Celsius.

Let's use this formula to convert [tex]\( 80^{\circ} \)[/tex] Celsius to Fahrenheit.

1. Substitute the given Celsius temperature into the formula:

[tex]\[ F = \frac{9}{5} \times 80 + 32 \][/tex]

2. Calculate [tex]\(\frac{9}{5} \times 80\)[/tex]:

[tex]\[ \frac{9}{5} = 1.8 \][/tex]

So, [tex]\( 1.8 \times 80 = 144 \)[/tex].

3. Add 32 to the result:

[tex]\[ F = 144 + 32 = 176 \][/tex]

Therefore, [tex]\( 80^{\circ} \)[/tex] Celsius is equal to [tex]\( 176^{\circ} \)[/tex] Fahrenheit.

From the given options, the correct answer is:

C. [tex]\( 176.0^{\circ} \)[/tex] Fahrenheit