suppose that y varies directly as x . if y is 24 when x is 6, find the constant of variation and the direct variation equation

Mathematics

1 answer:

Reika [66]3 years ago

3 0

Answer:

Step-by-step explanation:

Direct variation can be modeled by y = kx where k is the constant of variation!

So to solve for k all we need to do is substitute in the value for y and x that are given.

So according to the problem y = 24 when x = 6

24 = 6k

Divide both sides by 6

k = 4

So the constant of variation is 4

The direct variation equation would then be

y = 4x

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