Question

If z^2 is directly proportional to W and Z=4 when W=8

Answer 1

z² = 2W

Explanation:

Assuming you require the equation of proportionality

Given z² is directly proportional to W then the equation relating them is

z² = kW ← k is the constant of proportion

To find k use the condition z = 4 when W = 8

4² = 8k

16 = 8k ( divide both sides by 8 )

2 = k

z² = 2W ← equation of proportionality

Answer 2

The constant of proportionality is 2.

Explanation:

z^2 = kW where k is a constant.

When z = 4 , W = 8 so

4^2 = 8k

k = 4^2/8

= 16/8

= 2.