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ddd [48]
3 years ago
7

Z varies directly with x and inversely with y.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

z = \frac{20}{9}

Step-by-step explanation:

Given that z varies directly with x and inversely with y then the equation relating them is

z = \frac{kx}{y} ← k is the constant of variation

To find k use the condition when x = 6 and y = 2, z = 15, thus

15 = \frac{6k}{2} ( multiply both sides by 2 )

30 = 6k ( divide both sides by 6 )

5 = k

z = \frac{6x}{y} ← equation of variation

When x = 4 and y = 9, then

z = \frac{5(4)}{9} = \frac{20}{9}

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