(Solved): Quantity X is proportional to quantity Y. Quantity X is inversely proportional to quantity Z. Tick a ...

Quantity X is proportional to quantity Y.

Quantity X is inversely proportional to quantity Z.

Tick all of the statements that are true.
 

If \( Z \) is increased by a factor of \( 8, X \) is also increased by a factor of 8 (for a constant \( Y \) ). A graph of \( X \) against \( Z \) will give a straight line through the origin (for a constant \( Y \) ). A graph of \( X \) against (1/Z) will give a straight line through the origin (for a constant \( Y \) ). If \( Z \) is reduced by a factor of \( 3, X \) will increase by a factor of 3 (for a constant Y). A graph of \( X \) against \( Y \) will give a straight line through the origin (for a constant Z). A graph of \( X \) against \( Y \) will give a straight line with a non-zero \( y \)-intercept (for a constant Z). If \( Y \) is halved, \( X \) will be doubled (for a constant \( Z \) ). If \( Y \) is doubled, \( X \) is also doubled (for a constant \( Z \) ).