If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%? If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%?

Question

Mathematics

Gideon Hawkins

28 March, 00:02

If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%? If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%?

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Answers (1)

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Clements · Answer 1

32.25%

Step-by-step explanation:

The equation of variation is z = ky/√x

When y is increased by 15%, we have value of y = 1.15y.

To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.

Therefore x must be increased by 0.3225 or 32.25%.