7-3Ext
Graphing Equivalent Ratios and Rates
Lesson Presentation
7-3Ext
Graphing Equivalent Ratios and Rates
Additional Example 1: Graphing Equivalent Ratios
and Rates
A website earns $2 for each click on an
advertisement. Make a table that shows 5
equivalent ratios for the rate $2 per click. Plot
the points on the coordinate plane, and describe
the pattern.
Since the amount earned depends on the number of
clicks, use x for the clicks and y for the amount earned
to write ordered pairs: (1, 2), (2, 4), (3, 6), (4, 8), and
(5, 10).
7-3Ext
Graphing Equivalent Ratios and Rates
Continued: Example 1
The amount earned (y-axis) increases by $2 for each
click (x-axis).
7-3Ext
Graphing Equivalent Ratios and Rates
Check It Out: Example 1
Make a table that shows 5 equivalent ratios for
the rate $3.50/gallon. Plot the points on the
coordinate plane, and describe the pattern.
Number of Gallons
Amount ($)
1
3.50
2
7.00
3
10.50
4
14.00
5
17.50
Since the dollar amount depends on the number of
gallons, use x for the gallons and y for the dollar
amount to write ordered pairs: (1, 3.5), (2, 7), (3,
10.5), (4, 14), and (5, 17.5).
7-3Ext
Graphing Equivalent Ratios and Rates
Continued: Check It Out Example 1
The dollar amount (y-axis) increases by $3.50 for
each gallon (x-axis).
7-3Ext
Graphing Equivalent Ratios and Rates
Additional Example 2: Using a Graph to find
Equivalent Ratios
Use the graph to find 3 equivalent ratios. Then
identify the unit rate.
To find 3 equivalent ratios, choose any 3 points on
the graph: (2, 1), (4, 2), (6, 3).
7-3Ext
Graphing Equivalent Ratios and Rates
Continued: Example 2
Possible ratios: 1 , 2 , 3
2 4 6
The unit rate is a comparison where one of the
measurements has a value of 1.In this case, set the
time equal to 1 second.
3 =x
6
1
6x =3
x= 1
2
The unit rate is 0.5 mile per second.
7-3Ext
Graphing Equivalent Ratios and Rates
Check It Out Example 2
Use the graph to find 3 equivalent ratios. Then
identify the unit rate.
To find 3 equivalent ratios, choose any 3 points on
the graph: (1, 2), (2, 4), (3, 6).
7-3Ext
Graphing Equivalent Ratios and Rates
Continued: Check It Out Example 2
Possible ratios: 2 , 4 , 6
1 2 3
The unit rate is a comparison where one of the
measurements has a value of 1. In this case, set the
time equal to 1 second.
6=x
3 1
3x =6
x= 2
The unit rate is 2 feet per second.