If ABC is the original and DEF is the image, what is the scale factor of this dilation ?
1 answer:
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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 ⇔
Here, k = PROPORTIONALITY CONSTANT
Given : k = 9
Now, let us consider the given expressions in which x ∝y
y = 81/3 x
Here,
So, here Proportionality Constant ≠ 9
y = 9 x
Here,
So, here Proportionality Constant = 9
y = 3 x
Here,
So, here Proportionality Constant ≠ 9
y = 1/9 x
Here,
So, here Proportionality Constant ≠ 9
Hence, only y = 9 x has Proportionality Constant = 9