Question

Find the constant of variation when t varies directly as the square of s, and t = 64 when S = 4.

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Answer 1

The constant of variation is 4

Explanation:

We are looking for the constant of variation when t varies directly as the square of s

t = k s^2 where k is the constant of variation

t = 64 and s = 4

64 = k 4^2

64 = k * 16

Divide each side by 16

64/16 = k * 16/16

4 = k

The constant of variation is 4