Question

4) Suppose y varies inversely with the SQUARE ROOT of x.

When x = 4, y = 100.
Which variation equation you need to use? (a) y = kx or (b) y = k/x?
Find the constant of Variation (K) and then find the Variation Equation by plugging the value of k.

Answer 1

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x