College

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

a. [tex]176^{\circ}[/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 find the temperature in degrees Fahrenheit when it is [tex]\(80^{\circ}\)[/tex] Celsius, we can use the formula for converting Celsius to Fahrenheit:

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

Here, [tex]\( C \)[/tex] represents the temperature in degrees Celsius.

Step-by-step conversion:

1. Plug in the Celsius temperature:
[tex]\[ C = 80 \][/tex]

2. Apply the formula:
[tex]\[ F = \frac{9}{5} \times 80 + 32 \][/tex]

3. Calculate [tex]\( \frac{9}{5} \times 80 \)[/tex]:
[tex]\[ \frac{9}{5} \times 80 = 144 \][/tex]

4. Add 32 to the result:
[tex]\[ F = 144 + 32 = 176 \][/tex]

So, the temperature will be [tex]\(176^{\circ}\)[/tex] Fahrenheit.

Therefore, the best answer from the choices provided is:
[tex]\[
\boxed{A}\;176^{\circ}\;\text{Fahrenheit}
\][/tex]