Question

Each table represents a proportional relationship. For each table: fill in the missing parts of the table

Answer 1

The missing parts of each table representing proportional relationships can be filled as follows:

Table 1:

x y

2 10

3 15

7 35

1 5

Table 2:

a b

12 3

20 5

40 10

1
`(1)/(4)`

Table 3:

m n

5 3

10 6

30 18

1 0.6

How the proportions are determined:

The proportions represent the ratios the relationships of the variables.

It can be computed as the quotient of one variable and another and stated as percentage, fraction, or decimal.

Table 1:

x y

2 10

- 15

7 35

1 -

Unit Rate = 5 (10 ÷ 2)

x = 3 (15/5)

y = 5 (5 x 1)

Table 2:

a b

12 3

20 -

- 10

1 -

Unit Rate = 0.25 (3 ÷ 12)

b1 = 5 (20 x 0.25)

a = 40 (10/0.25)

b2 =
`(1)/(4)` (1 x 0.25)

Table 3:

m n

5 3

10 -

- 18

1 -

Unit Rate = 0.6 (3 ÷ 5)

n1 = 6 (10 x 0.6)

m = 30 (18 ÷ 0.6)

n2 = 0.6 (1 x 0.6)