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In this activity, you will rewrite a formula to solve for a different variable and then find specific values of unknowns.

Part A:

You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know what the temperature is in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: [tex]F = \frac{9}{5} C + 32[/tex].

Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.

Sagot :

GinnyAnswer
To convert the given formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] from Fahrenheit to Celsius, we need to isolate [tex]\( C \)[/tex] on one side. Let's go through this step by step:

1. Start with the given formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

2. Subtract 32 from both sides to keep terms involving [tex]\( C \)[/tex] on one side:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]

3. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex] to isolate [tex]\( C \)[/tex]. The reciprocal of [tex]\(\frac{9}{5}\)[/tex] is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]

Therefore, the formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]

This is the correct conversion formula where [tex]\( C \)[/tex] (Celsius) is expressed in terms of [tex]\( F \)[/tex] (Fahrenheit).
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