Question

Given that z varies Directly with y and varies Indrectly with x, use the given values to find an equation that relates x, y, and z. X=6, y=12, and z= 10

Answer 1

Answer:

see explanation

Step-by-step explanation:

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

z = kxy ← k is the constant of variation

To find k use the condition x = 6, y = 12 and z = 10

k = $\frac{z}{xy}$ = $\frac{10}{12(6)}$ = $\frac{10}{72}$ = $\frac{5}{36}$, hence

z = $\frac{5}{36}$ xy ← equation of variation