kaylajp2008
contestada

Suppose that y is directly proportional to x, and y = −16 when x = −2. What is the constant of proportionality?

A) −8
B) −
1
8
C) 1
8
D) 8

Respuesta :

huoney

Answer:

In the given expression the constant of proportionality is  k = 8.

Step-by-step explanation:

The quantity P is said to be directly proportional to Q if they vary in proportion to each other.


Here, P ∝ Q ⇔  P = kQ : k = Proportionality Constant


Now, here given y ∝ x   and x =  -2, y = -16

Now, y ∝ x ⇒  y =  kxor, (-16)   = k (-2) or, k = 16/2  = 8 ⇒ k = 8So, for k = 8, y ∝ x 

Hence, in the given expression the constant of proportionality is  k = 8.

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