Question

Which of the following tables represents a proportional relationship?
x 2 5 6 7
y 6 8 10 12


x 2 4 6 8
y 6 12 18 24


x 2 3 4 5
y 4 6 8 12


x 2 5 8 14
y 6 12 18 24

Answer 1

a proportional relationship will be one where \(y=kx\) for some value of \(k\).

Answer 2

also known as direct variation, and that constant \(k\) is called the constant of variation.

A proportional relationship will also be a straight line if graphed, and the slope of the graph is \(k\).

Answer 3

So it b @whpalmer4

Answer 4

@whpalmer4

Answer 5

Well, what is the value of \(k\) if it is the second choice?

Answer 6

thanks it b @OrangeMaster

Answer 7

was it b @Vonte12

Answer 8

answer my questions, and you'll know the answer with 100% certainty...

Answer 9

@whpalmer4

Answer 10

Okay, good to know.

Answer 11

You could use whpalmer4's method, but I used common sense. If you multiply each x value by 3, it equal the y value.

Answer 12

i did i got it now @whpalmer4 @OrangeMaster

Answer 13

its ok @whpalmer4 i was jp :/

Answer 14

yes, so \(k=3\). Each x value * 3 gives the corresponding y value. If they all fit, that is the correct answer.