The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant of variation?

Question

Mathematics

Abraham Church

7 December, 05:24

The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant of variation?

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Answers (1)

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Sawyer · Answer 1

Yvaires directly as x means

y=kx

y varies inversly with z means

y=k/z

therfor

y = (kx^2) / z

k=constant of variation

6 = (k9^2) / 27

6 = (k81) / 27

6=3k

divide both sides by 3

2=k

the constant of variation is 2