Respuesta :
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 ⇔ [tex]k = \frac{P}{Q}[/tex]
Here, k = PROPORTIONALITY CONSTANT
Given : k = 9
Now, let us consider the given expressions in which x ∝y
y = 81/3 x
Here, [tex]\frac{y}{x} = \frac{81}{3} = 27 \ne 9[/tex]
So, here Proportionality Constant ≠ 9
y = 9 x
Here, [tex]\frac{y}{x} = 9[/tex]
So, here Proportionality Constant = 9
y = 3 x
Here, [tex]\frac{y}{x} = 3 \ne 9[/tex]
So, here Proportionality Constant ≠ 9
y = 1/9 x
Here, [tex]\frac{y}{x} = \frac{1}{9} \ne 9[/tex]
So, here Proportionality Constant ≠ 9
Hence, only y = 9 x has Proportionality Constant = 9
Answer:
The answer is B y=9x
Step-by-step explanation:
I just answered the question and got it right.
