Question

Z varies directly with q. when z=2,q=1 .

find a formula connecting z and q

z=???

Answer 1

`z = (q)/(2)`

Explanation:

`z \infty q`

`z = kq`

`z = 2 \: and \: q = 1`

`2 = k1`

`k = (2)/(1)`

`z = (1)/(2) q`

`z = (q)/(2)`

Answer 2

9514 1404 393

Answer:

z = 2q

Explanation:

The formula for direct variation is ...

z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

z = 2q