Answer :

Answer is (d).

Let's take the constant as K.

y=K. (1/x)
K = yx
K = (-16) x (-64)
K = 1024

The constant of variation is 1024.

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

Given, y varies inversely with x,

y ∝ (1/x)

y= k. (1/x)

Let's take the constant of variation as k

y = k. (1/x)

k = yx

Substitute the vaules of x and y,

k = (-16) x (-64)

k = 1024

Hence, the constant of variation is 1024.

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