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{9C}{5} + 32[/tex].)

a. [tex]176^{\circ}[/tex] Fahrenheit
b. [tex]150.4^{\circ}[/tex] Fahrenheit
c. [tex]76.0^{\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 can use the formula:

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

Here, [tex]\( C \)[/tex] represents the temperature in degrees Celsius, which is [tex]\(80^{\circ}\)[/tex] in this case. Let's go through the steps to calculate this:

1. Multiply the Celsius temperature by 9/5:
[tex]\[
\frac{9}{5} \times 80 = 144
\][/tex]

2. Add 32 to the result from step 1:
[tex]\[
144 + 32 = 176
\][/tex]

Thus, the temperature in degrees Fahrenheit is [tex]\(176^{\circ}\)[/tex] Fahrenheit.

Based on this calculation, the correct answer is option (a) [tex]\(176^{\circ}\)[/tex] Fahrenheit.