Page 116 - Math Course 1 (Book 1)

Graphing Ordered Pairs and Relations

REAL WORLD EXAMPLE

EARNINGS

Austin earns $5 an hour doing yard work. Suppose x represents the number of hours Austin works.
A. Make a table of ordered B. Graph the ordered pairs. C. Describe the graph
pairs in which the x-coordinate
represents the hours worked
and y represents the amount Answer The points appear
of money Austin earns for 1, 2, to lie on a line.
3, 4, and 5 hours of work. Earnings

x y (x, y)

1 5 (1, 5)
2 10 (2,10)
Hours
3 15 (3, 15)

4 20 (4, 20)

5 25 (5, 25)

Your Turn!

Relations as Tables and Graphs
Express the relation {(4, 1), (3, 2), (0, 1), (2, 3)} as a
table and as a graph. Then determine the domain
and range.
A. D = {1, 2, 3}, R = {4, 3, 0, 2}
B. D = {4, 3, 0, 2} R = {1, 2, 3},
C. D = {4, 3, 2}, R = {1, 2, 3}
D. D = {1, 2, 3}, R = {4, 3, 2}

Answer

BAKING
Sue is following a recipe for cookies which requires 2 cups of sugar for each batch of
cookies made. Suppose x represents the number of batches made.
A. Make a table of ordered pairs in which the x-coordinate represents the number of batches made and y
represents the number of cups of sugar needed for 1, 2, 3, 4, and 5 batches made.

A. B. C. C.
x y (x, y) x y (x, y) x y (x, y) x y (x, y)
1 3 (1, 3) 1 2 (1, 2) 1 0 (1, 0) 1 2 (1, 2)
2 4 (2, 4) 2 2 (2, 2) 2 2 (2, 2) 2 4 (2, 4)
3 5 (3, 5) 3 2 (3, 2) 3 4 (3, 4) 3 6 (3, 6)
4 6 (4, 6) 4 2 (4, 2) 4 6 (4, 6) 4 8 (4, 8)
5 7 (5, 7) 5 2 (5, 2) 5 8 (5, 8) 5 10 (5, 10)

Answer

108