Apps. and Interpretation for IBDP Maths Ebook 1 | Page 62

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. The total price $P of selling x apples, y oranges and z pears can be modelled by
P � ax �by � cz , where a , b and c are the unit prices of apples, oranges and pears
respectively. The following table shows the total prices of different combinations of
apples, oranges and pears:
$P x y z
$150 10 12 13
$178 14 8 19
$230 22 23 7
(a) (i) Write down the system of three equations in a , b and c .
(b)
(ii) Hence, find the values of a , b and c .
Find the total price of 30 apples and 35 pears.
[5]
[2]
4. In a football league, each team gains x points for a win, y points for a draw and z
points for a loss. There are 46 matches in a year. The following table shows the
performances of three teams in 2019:
Team Win Draw Loss Points
A 30 16 0 152
B 23 15 8 114
C 11 17 18 60
(a) (i) Write down the system of three equations in x , y and z .
(ii) Hence, find the values of x , y and z .
(b) Interpret the meaning of z .
[5]
[1]
52
SE Production Limited