College

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][tex]$176^{\circ}$[/tex][/tex] Fahrenheit
b. [tex]$76.0^{\circ}$[/tex] Fahrenheit
c. [tex]$150.4^{\circ}$[/tex] Fahrenheit
d. [tex][tex]$201.6^{\circ}$[/tex][/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]\[ F = \left(\frac{9}{5} \times C\right) + 32 \][/tex]

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

Let’s go through the steps using [tex]\(C = 80\)[/tex]:

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 to convert to Fahrenheit:

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

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

Therefore, the best answer from the choices provided is:
a. [tex]\(176^\circ\)[/tex] Fahrenheit