1. 3.3 Interpreting the Unit Rate of Slope
How do you interpret the unit rate of slope?

2. Definitions Rate: Unit Rate:
a rate is a comparison of two quantities that have different unites, such as miles per hour
Unit Rate:
is a rate in which the second quantity in the comparison is 1 unit.
Definitions

3. UNIT RATE= SLOPE WITH A LABEL

4. Graphing Proportional Relationships (Example #1)
Question: Every 3 seconds, 4 cubic feed of water passes over a dam. Draw a graph of the situation. Find the unit rate of the proportional relationship.
Step #1: Make a Table
Step 2: Draw a graph
Step 3: Find the slope
(3,4) (6,8)
M= y2-y1 = = 4
x2-x
Unit rate: 4/3 cubic feet/sec.
Seconds 3 6 9 12
Cubic Ft 4 8 16
Graphing Proportional Relationships (Example #1)

5. Unit rate: 3/5 cubic feet/sec
Question: Every 10 seconds, an escalator step rises 6 feet. Draw a graph of the situation. Find the unit of this proportional relationship.
Step #1: Make a Table
Step 2: Draw a graph
Step 3: Find the slope
(10,6) (20,12)
M= y2-y1 = = 6 = 3
x2-x
Unit rate: 3/5 cubic feet/sec

6. Using Slope to Compare Unit Rates (Example #2) pg 85 in the book
Step #1: Make a table for Well A= 2.75x
Step 2: Find the slope of the table (1, 2.75) (2,5.50)
m= y2-y1 = = 2.75
x2-x
Well A M= $2.75 barrels per hour
Step 3: Use the graph to find the slope of the graph for Well B
m= Rise = 10 = 2.50
Run
Well B m = $2.5 barrels per hour
Step 4: Compare the unit rates for Well A & B
Well A pumps faster than Well B
Time 1 2 3 4
Barrels
2.75
5.50
8.25
11.00
Using Slope to Compare Unit Rates (Example #2) pg 85 in the book