Respuesta :

1. The tables represent a ratio of 3:5. For example, 6 x 3 = 18, and 6 x 5 = 30. Also, 20 x 3 = 60, and 20 x 5 = 100. 
2. The table has a ratio of 3:4, so the missing blank is 64. 

The ratio represented by first table is 3:5

The number that completes the table of equivalent ratio is 64

Given :

Table of values x  and y

From the first table , lets pick x  and y and find out common ratio

x:y

18:30

Simplify the ratio, divide both sides by 6

[tex]3:5[/tex]

Lets pick one more point and check the ratio

42: 70

divide both sides by 14

ratio is 3:5

The ratio represented by first table is 3:5

Now we find out the ratio for the second table

18:24

divide both sides by 6

3:4

So the ratio for the second table is 3:4

Let x be the unknown

48:x

Now we make a proportion to solve for x

[tex]3:4= 48:x\\\frac{3}{4} =\frac{48}{x} \\3x=4 \cdot 48\\divide \; by \; 3\\x=64[/tex]

The number that completes the table of equivalent ratio is 64

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