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lakkis [162]
3 years ago
7

If y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

y = 192

Step-by-step explanation:

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

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

To find k use the condition y = 16 and z = 2 when x = 42

k = \frac{yx}{z} = \frac{16(42)}{2} = 336

y = \frac{336z}{x} ← equation of variation

When x = 14 and z = 8, then

y = \frac{336(8)}{14} = 192

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