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
The numeric constant of variation in this relation is 10.
We need to find the numeric constant of variation in this relation.
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.
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