High School

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]$5 / 9$[/tex]
B. Multiply 46 by [tex]$9 / 5$[/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert degrees Fahrenheit to degrees Celsius, you can use this formula:

[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]

Barbara is starting the conversion process. She has already completed the first step by subtracting 32 from 78:

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

Now, the next step is to multiply the result by [tex]\( \frac{5}{9} \)[/tex]. So, she should take:

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

This step will convert the temperature from Fahrenheit to Celsius. Therefore, the correct next step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].

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