1. LinearRelations

2. Function: is a link between two numbers that vary Variables: are quantities with changing values if a value doesn’t change then it is called a constant
There are 2 kinds of variables: independent dependent

3. The two types of variables
Dependent
“y” variable
This variable reacts to the changes in the independent variable
Independent
“x” variable
This variable causes the dependent variable to change.

4. How to Display Variables
Table of Values
Graphing
X (independent)
Y (dependent)
Y dependent
X (independent)
y (dependent) x
independent
You must always put the variables in the right place
Remember to be careful about the “scale”

5. How to Graph a Function Identify independent and dependent variables
Draw a Cartesian Plane on graph paper
Determine the scale of the “x” and “y” axis
Make a table of values
Carefully put all coordinates from table of values onto the Cartesian Plane (graph)
Use a ruler to connect the coordinates

6. Example: I pay my babysitter $5/hr.
Dependent variable: Amount she gets paid
Independent Variable: The number of hours
that she works
Table of Values
Draw a Cartesian Plane
Number of hours she works 1 2 4
Amount she gets paid ($) 5 10 20

7. Graphing the coordinates. (0,0), (1,5) etc..
Decide on a scale for each axis.
Place the coordinates on the graph.
Connect the coordinates with a ruler
Workbook page 96 act #2 and then page 99 #2
Textbook page 113 # 1 (name the variables precisely..) and #2 20 15 10 5

8. Independent Dependent
Temp length of the rod
Time amount wasted
Time height of plant
# of days amount of oil intank