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Temperatures are normally expressed in degree Celsius in the Philippines and in Fahrenheit in some western countries. If the function for fahrenheit to celsius conversion is \(T(°C) = (T(°F) - 32) × 5/9\), the celsius to fahrenheit conversion is \(T(°F) = (T(°C) × 9/5) + 32\). 1. What is the equivalent conversion of 72°F to Celsius? Answer °F (Note: with two decimal digits) 2. What is the equivalent conversion of 100°C to Fahrenheit? Answer °F (Note: with two decimal digits)

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Answer:

1. [tex]22.22\°C[/tex]

2. [tex]212.00\°F[/tex]

Step-by-step explanation:

1. The exercise provides the function for the conversion from Degrees Fahrenheit to Degree Celsius:

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

Therefore, in order to find the equivalent conversion of [tex]72\°F[/tex]to Celsius, we need to substitute [tex]T(\°F)=72[/tex] into the function. Then, we get:

[tex]T(\°C)) = (72 - 32)*\frac{5}{9}\\\\T(\°C)=22.22[/tex]

2. We also have this function for the conversion from Degree Celsius to Degrees Fahrenheit:

[tex]T(\°F) = (T(\°C) *\frac{9}{5})+32[/tex]

Then, we need to substitute [tex]T(\°C)=100[/tex] into the function  in order to find the equivalent conversion of [tex]100\°C[/tex] to Fahrenheit. Then, we get:

[tex]T(\°F) = (100 *\frac{9}{5})+32\\\\T(\°F)=212.00[/tex]

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