Notes with answers - Summit Schools

Your Notes
Homework
Checkpoint Tell which line is steeper.
3. Line 1: through (3, 5) and (6, 8)
Line 2: through (22, 4) and (10, 12)
line 1
Example 4 Slope as a Rate of Change
census The population of Smalltown was 10,000 in
2001 and 12,500 in 2006. Find the average rate of
change in the population.
Solution
Let (x1 , y1 ) 5 (2001, 10,000 ) and
(x2 , y2 ) 5 ( 2006 , 12,500 ).
Change in population
Average rate of change 5 }}
Change in time
12,500 2 10,000
5 }}
2006 2 2001
5 2500
}
5
5 500
The average rate of change is 500 people per year .
Checkpoint Complete the following exercise.
4. Census Suppose the population of Smalltown will be
20,000 in 2011. Use the information in Example 4
to find the average rate of change in the population
from 2001 to 2011.
1000 people per year
32 Lesson 2.3 • Algebra 2 C&S Notetaking Guide Copyright © McDougal Littell/Houghton Mifflin Company