Graphing Ratios and Rates

Warm Up 1). If 5 pencils $3.75. How many pencils can you buy for $12.00? What is the unit rate? 2). Fill in the table below. 3). Write the equation for the table above. $12.00 for 16 pencils, $0.75 for one pencil 220 Miles 40 120 Hour 2 11 6 Y=20x

The unit rate is 9 people per one pan of brownies. Example 1: Jan is making brownies for her party. Three pans of brownies will serve 27 people. How many pans of brownies will she need for 18 people? What is the unit rate? Graph your data. Pan of Brownies 1 3 People 18 27 2 9 The unit rate is 9 people per one pan of brownies.

The numbers in the tables can be represented as ordered pairs and graphed. The ordered pair will be (pan of brownies, people). Notice that the graph is a straight line. That is because we are graphing equivalent ratios. 30 20 10 P e o p l 1 2 3 4 5 Pan of Brownies

Example 2: Create a table with 4 equivalent ratios and graph them. Greg ran 1 miles in 5 minutes. Minutes Miles This is one possible answer for the table.

Example 2: Create a table with 4 equivalent ratios and graph them. Greg ran 1 miles in 5 minutes. 1.0 0.8 Sample Graph, graph should be a straight line Miles 0.6 0.4 0.2 1 2 3 4 Minutes

The unit rate is $2.00 for one notebook. Example 3: a). What does the point (3, 6) represent? b). What is the unit rate? c). What is the cost for 10 notebooks? 3 notebooks cost $6.00. The unit rate is $2.00 for one notebook. $20 for 10 notebooks. 8 6 Price 4 2 0 1 2 3 4 5 Notebook

Practice 1). Create a table with 4 equivalent ratios and graph them. Kiko drank 3 sodas in 12 minutes. 2).What does the point (3,9) represent on the graph? 3). What is the unit rate? 4). How many cans of paint can you buy for 36 dollars? 12 9 Price 6 3 0 1 2 3 4 5 Cans of Paints

Practice(answers) 1). Create a table with 4 equivalent ratios and graph them. Kiko drank 3 sodas in 12 minutes. Minute 1 2 3 4 Soda .25(1/4) 0.5(1/2) .75(3/4) 1 .75 Soda .5 .25 0 1 2 3 4 5 Minutes

You can buy 12 cans of paint for $36. 2).What does the point (3,9) represent on the graph? 3 cans of paint for $9.00 3). What is the unit rate? $3 for 1 can of paint 4). How many cans of paint can you buy for 36 dollars? You can buy 12 cans of paint for $36. 12 9 Price 6 3 0 1 2 3 4 5 Cans of Paints

Closure How can you determine the unit rate of graph of equivalent ratios? Find the x value of 1 and go up to the y value. This will be the unit rate. For example, (1 notebook, $3.00) would be the unit rate.