High School

The formula [tex]$F = \frac{9}{5} C + 32$[/tex] can be used to convert between degrees Celsius ([tex]$C$[/tex]) and degrees Fahrenheit ([tex]$F$[/tex]).

What number of degrees Fahrenheit corresponds to [tex]$30^{\circ}$[/tex] Celsius?

A. 13
B. 22
C. 62
D. 86

Answer :

To find the number of degrees Fahrenheit that corresponds to [tex]\(30^\circ\)[/tex] Celsius, you can use the conversion formula:

[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

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

Let's substitute [tex]\( C = 30 \)[/tex] into the formula:

1. Start by multiplying the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex]:

[tex]\[ \frac{9}{5} \times 30 = 54 \][/tex]

2. Next, add 32 to the result from step 1:

[tex]\[ 54 + 32 = 86 \][/tex]

So, [tex]\( 30^\circ \)[/tex] Celsius is equivalent to [tex]\( 86^\circ \)[/tex] Fahrenheit.