Title
What type of Graph is Celsius
vs. Fahrenheit?
Problem Statement
Collect temperatures measured in both Fahrenheit and Celsius so that you
have 10 data points at least 10 Celsius degrees apart. Plot Fahrenheit vs.
Celsius. Is this graph best described as a linear, exponential, or
quadratic relationship? Explain your reasoning.
Problem setup
The problem requires a graph an
equation that will compare Celsius and Fahrenheit temperatures
Plans to
Solve/Investigate the Problem
I will graph the equation that
will convert from Celsius to Fahrenheit; the graph will tell if it is a linear, exponential, or
quadratic relationship.
Investigation/Exploration
of the Problem
Degrees Celsius = Degrees
Fahrenheit – 32(5/9)
Setting C to y and F to x, my
equation becomes:
y = x – 32(5/9) I used a graphing calculator to draw
the graph.
Click
Here for the Graphing Calculator file
The graph is linear which is to
be expected since the relationship should be linear. A thermometer can be
used that has both scales on it. The scales do not change, but each has a
different numerical value.
.
Extensions of the Problem
An extension of this problem
would be to compare the graphs of Celsius and Kelvin Temperatures.
Author & Contact
Insert name and contact information.
cgriswold@rockdale.k12.ga.us
