Algebra II Question

Question

y varies directly as x and inversely as the square of z.

y=32

when

x=36

and

z=3.

Find y when

x=3

and

z=6.

b

varies directly as the cube of

u

and inversely as

q.

Use k as the constant of​ variation

Answer:?

Answer 1

To understand "varies directly," "varies inversely," and "varies jointly" one must understand direct and inverse proportions. y = kx is a direct variation, i.e. the proportions are direct. y=k/x is an inverse variation, i.e. 1/x is the inverse. A joint variation could be joint direct or joint inverse.

Your equation, "y varies directly as x and inversely as the square of z" means that y = k(x/z²)