SOLUTION: 1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? 2. There is a formula that converts temperature in

Click here to see ALL problems on Functions

Question 89883: 1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?
2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100
1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
3. How do the graphs of these two functions differ?
Do not just list the functions. You must show all of the steps you used to derive the functions.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100
1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
-----
slope = (212-32)/(100-0) = 180/100 = 9/5
----------
The equation is y=mx+b where m=9/5,and y=32 when x=30
32=(9/5)*0+b
b=32
---------
EQUATION:
Fahrenheit = (9/5)(Celcius)+32
=========================================

2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
Celcius = (Fahrenheit-32)*(5/9)
==============================
3. How do the graphs of these two functions differ?
One is the inverse of the other.

================