Question

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

Answer 1

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