Question

If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =

Answer 1

Answer:

y = 28

Step-by-step explanation:

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

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

To find k use the condition y = 4 when x = 2 and z = 7, then

4 = $\frac{2k}{7}$ ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = $\frac{14x}{z}$ ← equation of variation

When x = 6 and z = 3 , then

y = $\frac{14(6)}{3}$ = 14 × 2 = 28