1. Graph Proportional Relationships
Chapter 1.5
Graph Proportional Relationships

2. (1, 2) Vocab coordinate grid
The _____________________ is a type of grid that is formed when two number lines intersect at their zero points.
A coordinate gird is separated into four regions called _______________.
An ___________________ is a pair of numbers, such as (1, 2), used to locate or graph points on the coordinate plane.
quadrants
ordered pair
(1, 2)

3. x-coordinate
ordered pair
y-coordinate

4. Proportional Relationship
If the graph of two quantities is a __________ through the ______, then the two quantities are proportional.
straight line
origin

5. Example 1
The slowest mammal on Earth is a tree sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane.
Time (min) 1 2 3 4
Distance (ft) 6 12 18 24

6. Example 1 Continued
Graph the ordered pairs (times, distance) on the coordinate plane.
Time (min) 1 2 3 4
Distance (ft) 6 12 18 24
(3, 18)
(4, 24)
(1, 6)
(2, 12)
(0, 0)
The line is a straight line and
passes through the origin.

7. Time (hr) 1 2 3 4 5 6
Money (dollars) 5 10 15 20 25 30

8. Example 2
Determine whether the cost of renting video games from Games Inc. is proportional to the number of games rented by graphing on the coordinate plane.
Ordered Pairs:
(1, 3)
(2, 5)
(3, 7)
(4, 9)

9. Example 2 Continued (1, 3) (2, 5) (3, 7) (4, 9) Cost $
Graph the ordered pairs.
(1, 3)
(2, 5)
(3, 7)
Cost $
(4, 9)
The line does NOT pass through
the origin so it is NOT proportional.
Number of Games Rented

10. The line is NOT straight so it is NOT proportional.

11. Example 3
Which batting cage represents a proportional relationship between the number of pitches thrown and the cost? Explain.

12. Exit Ticket

13. Graph Proportional Relationships
Chapter 1.5
Graph Proportional Relationships

14. Vocab
The _____________________ is a type of grid that is formed when two number lines intersect at their zero points.
A coordinate gird is separated into four regions called _______________.
An ___________________ is a pair of numbers, such as (1, 2), used to locate or graph points on the coordinate plane.
(1, 2)

16. Proportional Relationship
If the graph of two quantities is a __________ through the ______, then the two quantities are proportional.

17. Example 1
The slowest mammal on Earth is a tree sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane.
Time (min) 1 2 3 4
Distance (ft)

18. Example 1 Continued
Graph the ordered pairs (times, distance) on the coordinate plane.
Time (min) 1 2 3 4
Distance (ft) 6 12 18 24

19. Time (hr) 1 2 3 4 5 6
Money (dollars)

20. Example 2
Determine whether the cost of renting video games from Games Inc. is proportional to the number of games rented by graphing on the coordinate plane.
Ordered Pairs:

21. Example 2 Continued (1, 3) (2, 5) (3, 7) (4, 9) Cost $
Graph the ordered pairs.
(1, 3)
(2, 5)
(3, 7)
Cost $
(4, 9)
Number of Games Rented

23. Example 3
Which batting cage represents a proportional relationship between the number of pitches thrown and the cost? Explain.

24. Exit Ticket