3-1: Constant Rate Of Change
9/21/15
Relationships that
have straight-line
graphs are called
linear relationships.
What is a Linear
Relationships?
What is a Constant
Rate of Change?
Example 1a:
Page 172
0
0
2
1
4
2
6
3
8
4
Cooling Water
Time
Temp.
5
95
10
90
15
86
20
82
A constant rate of
change is the rate of
change between any
two points in a
linear relationship is
the
same
or
constant. A linear
relationships has a
constant rate of
change.
𝑏
Proportional Linear
Relationships:
Two quantities and
is
constant
and
𝑎
b
have
a
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑏
is proportional linear
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑎
relationship if they
constant.
have a constant
ratio and a constant
and a constant rate
of change.
Proportional
Relationships:
Two quantities are
proportional if they
have a constant
ratio.
Example 2c:
Page 174
Use the table to
determine if there is
a proportional linear
relationship
between mass of an
object in kilograms
and the weight of
the
objects
in
pounds.
Explain
your reasoning.
Summary:
Weight
20
40
60
80
Mass
9
18
27
36