(Solved): Quantity \( X \) is proportional to quantity \( Y \). Quantity \( X \) is inversely proportional t ...

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 \( Y \) 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 \( Z \) is reduced by a factor of \( 3, X \) will increase by a factor of 3 (for a constant \( Y \) ). A graph of \( X \) against (1/Z) will give a straight line through the origin (for a constant \( Y \) ). A graph of \( X \) against \( Y \) will give a straight line through the origin (for a constant \( Z \) ). If \( Y \) is doubled, \( X \) is also doubled (for a constant \( Z \) ). A graph of \( X \) against \( Z \) will give a straight line through the origin (for a constant \( Y \) ).