Suppose x varies directly with y and x=24 when y = -96. what is the constant of variation and what is the value of x when y=-164?

A. cov = - 4, x=656

B. cov = - 4, x=41

C. cov = - 1/4, x=41

D. cov = - 1/4, x=-41

Choice B is correct.

Step-by-step explanation:

Firstly, we have to find constant of variation.

y = kx eq (1)

Given y = - 96 and x = 24

put above values in eq (1)

-96=k (24)

dividing above equation by 24

-96/24=24k/24

-4=k

so eq (1) becomes y=-4x

Secondly, we have to find value of x when y=-164

-164=-4x

dividing by - 4 by above equation.

-164 / (-4) = -4x / (-4)

41=x

so, k=-4 and x=41.

B

Step-by-step explanation:

30. You want to solve for k and use it with a different y-value.

... y = kx

... - 96 = k·24

... - 96/24 = k = - 4

For y = - 164, you have

... - 164 = - 4·x

... - 164/-4 = x = 41

The coefficient of variation is - 4, x is 41.