LESSON

How can you use tables, graphs, and equations to represent proportional situations?

Representing Proportional Relationships

TableIf all the ratios of numbers in the table are equivalent, the relationship is proportional.

Yx

GraphIf the graph of the numbers forms a straight line through the origin (0,0), the relationship is proportional.

• Complete the table and create a graph.• Write an equation that fits this situation.

(Hint: Use your constant of proportionality!!)

Ex. 2: Your dad is making trail mix. Determine if the quantities of nuts and fruit are proportional for each serving size shown in the table below.

Cups of nuts (x)

Cups of fruit (y)

yx

Unit Rate

1.5 63 12

4.5 186 24

Does the table shows a proportional relationship? Write an equation that describes the relationship.

3.

y = 28x

The table and graph show values representing a proportional relationship. Use the graph labels to describe the proportional relationship. Complete the table and graph the points from the table. Then write an algebraic equation for the proportional relationship.

X Y3 4.54 65 7.58 129 13.5

Find the constant of proportionality:

Click

X Y

2 1.5

5 3.75

10 7.5

12 9

46 Find the constant of proportionality.

X Y

2 2.5

3 3.75

4 5

9 11.25

47 Find the constant of proportionality.

X Y

50 3

75 4.5

100 6

140 8.4

48 Find the constant of proportionality.