Question

Enter numbers into the table so that the paired values are in a proportional relationship.

x 1 3 ____ 7 9
y ____ 18 30 42 54

Answer 1

The missing numbers are 5 and 6.

Explanation:

From the given table, if we divide each pair as y/x, we find the ratio is 6.

`(18)/(3)=6\\(42)/(7)=6\\(54)/(9)=6`

Therefore, the missing numbers have to be in the same ratio.

`(x)/(1)=6\\x=6`

`(30)/(x)=6\\ x=5`

So, the missing numbers are 5 and 6, because they are also in the same ratio of 6.

Answer 2

x- 5

y- 6

Explanation:

A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.

The proportional constant is 6.

18/3=6

42/7=7

54/9=6

Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.