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 from degrees Fahrenheit to degrees Celsius, we use the conversion formula:

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

For an initial temperature of [tex]$78^\circ F$[/tex], we start by subtracting 32:

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

The next step is to multiply this intermediate result by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
46 \times \frac{5}{9} \approx 25.56
$$[/tex]

Hence, after subtracting 32 from [tex]$78^\circ F$[/tex], the next step is to multiply [tex]$46$[/tex] by [tex]$\frac{5}{9}$[/tex].

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