Rate of Change
1.
Calculate the rate of changefor the given table.
 1
 -4
 2
 4
4
1
x
7
-4
2
8
y
2.
 -6/1
 -1/6
  6/1
  1/6
What is the rate ofchange of the  line segment?
3.
What is the rate of change
of the line?
y
3/4
3
4/3
4
x
4.
What is the rate of change of the line?
y
-6/1
-1/6
6/1
1/6
x
5.
Find the slope of the line.
y
  1
-1
  2
-2
x
6.
negative
undefined
zero
positive
Tell whether the slope 
of the line is positive,
negative, zero orundefined.
y
x
7.
78 voters/hr
156 voters/hr
234 voters/hr
39 voters/hr
Find the rate of change in the number of votersat the local precinct between 8 A.M. until 2 P.M.
# voters
time
8 A.M.
78
10 A.M.
156
12 P.M.
234
2 P.M.
312
8.  
Slope and rate of change are ...
essentially the same concept
unrelated concepts
9.
What phrase helps us to determine the 
rate of change or the slope of a line
from a graph?
run over rise
rise over run
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
10.
Find the rate of 
change for the graph.
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
11.
Note: If the rate of change
is negative, put the 
negative sign in the 
numerator.
Find the rate of change for the 
graph below.
12.
Calculate the rate of changefor the given table.
2
0
x
4
0
3
6
y
13.
On Sunday Abby picked a bushel of apples.  
Each day she gave 13 apples away to neighbors. 
Find the rate of change of Abby's apples.
14. 
Mike started a savings account with $300.  After 4 weeks, he had $360.  What is the rate of change of money in Mike's savings account each week?
$
week
15.
negative
undefined
zero
positive
Tell whether the slope 
of the line is positive,
negative, zero orundefined.
y
x
16.
What phrase helps us to determine the rate of change or the slope of a linefrom a table?
change in y over change in x
change in x over change in y
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