High School

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]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 out what the temperature will be in degrees Fahrenheit when it is [tex]\(80^{\circ}\)[/tex] Celsius outside, we need to use the formula for converting Celsius to Fahrenheit:

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

Let's go through the conversion step-by-step:

1. Identify the Celsius temperature:
The given Celsius temperature is [tex]\(80^{\circ}\)[/tex].

2. Multiply by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\(\frac{9}{5} \times 80 = 144\)[/tex].

3. Add 32 to the result from step 2:
[tex]\(144 + 32 = 176\)[/tex].

Thus, when it is [tex]\(80^{\circ}\)[/tex] Celsius outside, the temperature in Fahrenheit will be [tex]\(176^{\circ}\)[/tex].

Therefore, the correct answer is:
a. [tex]\(176^{\circ}\)[/tex] Fahrenheit