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 convert a temperature from Celsius to Fahrenheit, we use the formula:

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

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

If we need to find out what the temperature in Fahrenheit would be when it’s [tex]\( 80^\circ \)[/tex] Celsius, let's plug in the value:

1. Start with the Celsius temperature: [tex]\( C = 80 \)[/tex]

2. Convert [tex]\( 80^\circ \)[/tex] Celsius to Fahrenheit:

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

3. First, calculate [tex]\( \frac{9}{5} \times 80 \)[/tex]:

[tex]\[ \frac{9}{5} \times 80 = 144 \][/tex]

4. Next, add 32 to the result:

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

Therefore, the temperature in Fahrenheit when it is [tex]\( 80^\circ \)[/tex] Celsius is [tex]\( 176^\circ \)[/tex].

So, the correct answer is:

a. [tex]\( 176^{\circ} \)[/tex] Fahrenheit