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

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

UNIT RATE= SLOPE WITH A LABEL

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 = 8-4 = 4 x2-x1 6-3 3 Unit rate: 4/3 cubic feet/sec. Seconds 3 6 9 12 Cubic Ft 4 8 16 Graphing Proportional Relationships (Example #1)

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 = 12-6 = 6 = 3 x2-x1 20-10 10 5 Unit rate: 3/5 cubic feet/sec

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 = 5.50-2.75 = 2.75 x2-x1 2-1 1 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 4 1 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