Your Practice Set – Applications and Interpretation for IBDP Mathematics SE Production Limited 328 30.1 ( a ) ( i ) Refer to solution ( ii ) 400 20 900 a b c � � �� 25 5 1125 a b c � � �� ( b ) ( i ) 2500 50 1 400 20 1 25 5 1 � � � � � � � � � � � A ( ii ) 3600 900 1125 � � � � � � � � � � � � � B ( iii ) 1 1 1 1 1350 450 675 1 11 14 54 90 135 2 5 40 27 9 27 � � � � � � � � � � � � � � � � � � � � � � � � A ( c ) 3 a � , 60 b �� and 900 c �� ( d ) ( i ) 10 x �� or 30 x � ( ii ) 1200 � 30.2 ( a ) ( i ) Refer to solution ( ii ) Refer to solution ( iii ) 36 6 356 a b c � � � � 100 10 516 a b c � � � � ( b ) ( i ) 4 2 1 36 6 1 100 10 1 � � � � � � � � � � � A ( ii ) 228 356 516 � � � � � � � � � � � � � � B ( iii ) 1 1 1 32 16 32 1 3 1 2 4 4 15 5 3 8 4 8 � � � � � � � � � � � � � � � � � � � � � � ( c ) 1 a �� , 24 b �� and 176 c �� ( d ) ( i ) 12 x �� , 8 x �� , 4 x �� ( ii ) 384 y �� 30.3 ( a ) ( i ) 2 1 0 10 1 � � � � � � � M ( ii ) 3 1 0 15 1 � � � � � � � M ( iii ) 50 1 0 250 1 � � � � � � � M ( b ) ( i ) 2 0 ( 2 ) 15 2 s � � � � � � � ( ii ) 3 0 ( 3 ) 30 3 s � � � � � � � ( iii ) 50 0 ( 50 ) 6375 50 s � � � � � � � ( c ) 1 0 ( 50 ) 6375 1 p � � � � � � � Exercise 30