Question

If y varies directly as x, and y is 400 when x is rand y is r when x is 4 what is the numeric constant of variation in this relation?

Answer 1

Answer:

Step-by-step explanation:

y = kx

400 = kr . . . . . . (1)

also, r = 4k . . . .(2)

400 = k(4k) = 4k^2

k^2 = 400/4 = 100

k = sqrt(100) = 10

Answer 2

The numeric constant of variation in this relation is 10.

We need to find the numeric constant of variation in this relation.

What is the varies directly?

The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y.

Given that, y varies directly as x, and y is 400 when x is r and y is r when x is 4.

Now, yαx

⇒y = kx

⇒400 = kr ------ (1)

also, r = 4k ------ (2)

⇒400 = k(4k) = 4k²

⇒k² = 400/4 = 100

⇒k = √(100) = 10

Therefore, the numeric constant of variation in this relation is 10.

To learn more about direct variation visit:

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