Question

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 0 2 4 6
y 0 3 6 9

Answer 1

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

• One variable is always a constant value times the other
• The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x  :  0  :  2  :  4  :  6

→ y  :  0  :  3  :  6  :  9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ $\frac{3}{2}=1.5$

∵ $\frac{6}{4}=1.5$

∵ $\frac{9}{6}=1.5$

∴ $\frac{y}{x}=k$

∴ k = 1.5

∵ The origin point is in the table

∴ y ∝ x

∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

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Answer 2

The answer to your question on ratios will be proportional as 1/2 would be half more these numbers have a half more on y than we have on x. Hope this helped out!