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Which relationships have the same constant of proportionality between y and x as the following graph

Which relationships have the same constant of proportionality between y and x as the-example-1
Which relationships have the same constant of proportionality between y and x as the-example-1
Which relationships have the same constant of proportionality between y and x as the-example-2
User AZ Chad
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1 Answer

8 votes
8 votes

Answer:

D & E

Explanation:

The constant of proportionality formula is y = kx. In the graph in question, when y = 6, x = 2. Plugging those values into the formula, 6 = k(2), we get that the value of k = 3. So, the correct answer should have a constant of proportionality of 3.

A) When dividing both sides by 6, we get y = 1/3 x. In this equation, k = 1/3, so this is not the answer.

B) k = 1/3 again, so this is not the answer.

C) When y = 6, x = 1. 6 = k(1), so k = 6. So, this is not the answer.

D) When y = 9, x = 3. 9 = k(3), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

E) When y = 15, x = 5. 15 = k(5), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

hope this helps! <3

User DSpirit
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