Question

use the table to answer this question

X Y Z
1 3 18
2 6 36
3 9 54

which option correctly uses the proportionality symbol to represent all the proportional relationships shown in the table?
(a) 18 ∝ 3 and 3 ∝ 1 and 18 ∝ 1
(b) Z ∝ Y and Y ∝ X and Z ∝ X
(c) Z ∝ Y and Y ∝ X
(d) Y ∝ Z and X ∝ Y and X ∝ Z

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct option is (c) Z ∝ Y and Y ∝ X.

Looking at the table, we can see that as X increases by 1 (from 1 to 2 to 3), Y also increases by 3 (from 3 to 6 to 9). This indicates that Y is directly proportional to X.

Similarly, as Y increases by 9 (from 3 to 6 to 9), Z increases by 18 (from 18 to 36 to 54). This shows that Z is directly proportional to Y.

Therefore, Z ∝ Y and Y ∝ X.