Apps. and Interpretation for IBDP Maths Ebook 1 | Page 75

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Paper 1 – Real Life Problems
Example
A population of bees is growing at a rate of 6% per year. There were 160 bees at the
beginning of 2002.
(a) Find the number of bees at the beginning of 2006.
[2]
(b) Find the number of bees n complete years after the beginning of 2002.
[2]
(c) It is assumed that each bee can produce 100 units of honey per year. Find the total
amount of honey produced in a complete six-year period after the beginning of
2002.
[3]
Solution
(a)
(b)
(c)
The number of bees
� u 5
(M1) for valid approach
51
�160 �(1 � 6%) �
� 201.9963136
� 202
A1 N2
The number of bees
� u n
(M1) for valid approach
�160 �(1 � 6%) n�1
�160� 1.06 n�1
A1 N2
The total amount of honey
� 100S 6
(M1) for valid approach
6
�160(1 �1.06 ) �
�100� �
� 1�1.06
�
(A1) for substitution
� 111605.0966
� 112000 units A1 N3
[2]
[2]
[3]
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