College

Barbara is converting [tex]78^{\circ} F[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Multiply 46 by [tex]\frac{5}{9}[/tex].
B. Multiply 46 by [tex]\frac{9}{5}[/tex].
C. Add 273 to 46.
D. Subtract 273 from 46.

Answer :

To convert a temperature from Fahrenheit to Celsius, you can use the formula:

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

Barbara is starting with [tex]\( 78^\circ F \)[/tex]. She begins by subtracting 32 from 78:

[tex]\[ F - 32 = 78 - 32 = 46 \][/tex]

Now that she has calculated this part, the next step is to multiply the result (46) by [tex]\( \frac{5}{9} \)[/tex]. This is because multiplying by [tex]\( \frac{5}{9} \)[/tex] completes the conversion from Fahrenheit to Celsius:

[tex]\[ C = 46 \times \frac{5}{9} \][/tex]

So, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].