Question

Z varies directly with x and inversely with y when x=6 and y=2, z=15. How do you write the function that models each variation and then find z when x=4 and y=9?

Answer 1

You first find the constants of variation.

Explanation:

`zharrx` and the constant=`A`
Direct variation means
`z=A*x->A=z/x=15/6=5/2or2.5`

`zharry` and the constant=`B`
Inverse variation means:
`y*z=B->B=2*15=30`