Question

Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x

Answer 1

The answer is B y=9x

Explanation:

I just answered the question and got it right.

Answer 2

B) y = 9 x has Proportionality Constant = 9

Explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔ P = k Q ⇔
`k = (P)/(Q)`

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which x ∝y

y = 81/3 x

Here,
`(y)/(x) = (81)/(3) = 27 \\e 9`

So, here Proportionality Constant ≠ 9

y = 9 x

Here,
`(y)/(x) = 9`

So, here Proportionality Constant = 9

y = 3 x

Here,
`(y)/(x) = 3 \\e 9`

So, here Proportionality Constant ≠ 9

y = 1/9 x

Here,
`(y)/(x) = (1)/(9) \\e 9`

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9