Apps. and Interpretation for IBDP Maths Ebook 1 | Page 369

Answers
13.3 (a) 0.903
(b) 1
(c) x �� 0.300 or x � 2.74
13.4 4.28
Chapter 6
Exercise 14
14.1 (a) a�b� 10, 9a�3b�
42
(or 36a�6b� 120 )
(b) a � 2 , b � 8
(c) x �� 2
14.2 (a) a � 2 and b �� 1
(b) c �� 4
14.3 (a) a � 2 and b � 1
(b) 1, 4
(c) y � 0
14.4 (a) p � 10, q � 6 , r � 1
(b) 1, 4, 16
(c) x � 0
Exercise 15
15.1 (a) x�y�
30
(b) 3x�y�
82
(c) x � 26 , y � 4
(d) 60
15.2 (a) a�190b�
8.25
(b) a�220b�
9.21
(c) a � 2.17 , b � 0.032
(d)
o
240 C
15.3 (a) p � 800 and q � 16400
(b)
(c)
p represents the increase of
the number of flats per year
q represents the initial
number of flats
15.4 (a) The price of one CD is USD
3.8
The price of one DVD is
USD 5.5
(b) USD 18.4
Exercise 16
16.1 (a) (i) Refer to solution
(ii) Refer to solution
(iii) 36a � 6b �c
� 928
(b) a �� 2 , b � 0 and c � 1000
16.2 (a) (i) x � y � z � 8400
(ii) Refer to solution
(b) 42x �84y � 21z
� 655872
(c) x � 800, y � 7344 and
z � 256
16.3 (a) (i)
�10a �12b �13c
�150
�
�14a � 8b �19c
�178
�
�22a � 23b � 7c
� 230
(ii) a � 5 , b � 4 and
c � 4
(b) $290
16.4 (a) (i)
�30x�16y
�152
�
�23x �15y � 8z
�114
�
�11x �17 y �18z
� 60
(ii) x � 4 , y � 2 and
(b)
Chapter 7
Exercise 17
17.1 (a) � 7
(b) � 141
(c) � 1425
17.2 (a) 0.5
(b) 24
(c) 2037
17.3 (a) 3
(b) 6
(c) 105
z �� 1
A team drops 1 point for
losing a game
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359