Question

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

Answer 1

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

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

P ∝ Q ⇔  P  = k Q    ⇔ $k = \frac{P}{Q}$

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

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

y  = 81/3 x

Here, $\frac{y}{x} = \frac{81}{3} = 27 \ne 9$

So, here Proportionality Constant ≠ 9

y = 9 x

Here, $\frac{y}{x} = 9$

So, here Proportionality Constant = 9

y = 3 x

Here, $\frac{y}{x} = 3 \ne 9$

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, $\frac{y}{x} = \frac{1}{9} \ne 9$

So, here Proportionality Constant ≠ 9

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