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Elis [28]
3 years ago
9

The variable z is directly proportional to x, and inversely proportional to y. When x is 6 and y is 6, z has the value 12.

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

z is directly proportional to x: z = kx.

If z is directly proportional to x and inversely proportional to y, then z = Kx/y.

When x= 6 and y = 6, z is 12. Find the constant of proportionality, K:

12 = K(6/6), or K = 12

Then, in general, z = 12x/y.

What is z when x=13 and y=10? z = 12(13)/(10) = 15.6 (answer)

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