Z varies inversely as the cube of d. If z = 3 when d = 2, how do you find z when d is 4?

Sasha Hess

Sasha Hess

Answered question

2022-09-04

Z varies inversely as the cube of d. If z = 3 when d = 2, how do you find z when d is 4?

Answer & Explanation

gasskadeu7

gasskadeu7

Beginner2022-09-05Added 21 answers

z varies inversely as the cube of d means z 1 d 3
In other words z = k × 1 d 3 3, wherek is a constant.
Now as z=3 when d=2 means
3 = k × 1 2 3 or 3 = k × 1 8 or k = 8 × 3 = 24
Hence z = 24 × 1 d 3 = 24 d 3
Therefore when d=4,
z = 24 × 1 4 3 = 24 64 = 3 8

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