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 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.
- [tex]\( C \)[/tex] is the temperature in degrees Celsius.

If the temperature is [tex]\( 80^{\circ} \)[/tex] Celsius, you can substitute 80 for [tex]\( C \)[/tex] in the formula to find the temperature in Fahrenheit.

Step-by-step calculation:

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

2. Add 32 to the result from step 1:
[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