If y varies directly with x, find the constant of variation with x = 4 and y = -24

A. -6
B. 4
C. -96
D. 6

I am a little lost on this. Can someone show me how to do this?

use the formula y=kx for this equation.
so considering that Y equals -24 then X and K must also equal that number
we already know that X is -4 but we dont know what K is.
so we divide -24 by -4 and get an answer of a positive 6 but the answer is not proven yet.
-4 times 6 is -24 meaning that the answer is 6

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isyllus isyllus · Answer 2 · 2019-03-15T03:56:36+01:00

isyllus isyllus

15-03-2019

Answer:

The constant of variation is -6.

A is correct.

Step-by-step explanation:

If y varies directly with x

[tex]y\propto x[/tex]

y is directly proportional to x.

Equation: y=kx

where, k is constant of proportionality or constant of variation.

At x=4 , y=-24

Substitute x and y into equation and solve for k

[tex]-24=4k[/tex]

[tex]k=-6[/tex]

Hence, The constant of variation is -6.

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If y varies directly with x, find the constant of variation with x = 4 and y = -24 A. -6 B. 4 C. -96 D. 6 I am a little lost on this. Can someone show me how to do this?

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If y varies directly with x, find the constant of variation with x = 4 and y = -24

A. -6
B. 4
C. -96
D. 6

I am a little lost on this. Can someone show me how to do this?