Question

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)

Answer 1

Answer:

1. $22.22\°C$

2. $212.00\°F$

Step-by-step explanation:

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

$T(\°C) = (T(\°F) - 32)*\frac{5}{9}$

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

$T(\°C)) = (72 - 32)*\frac{5}{9}\\\\T(\°C)=22.22$

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

$T(\°F) = (T(\°C) *\frac{9}{5})+32$

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

$T(\°F) = (100 *\frac{9}{5})+32\\\\T(\°F)=212.00$