Download Quadratic Functions Questions IB math studies PDF

TitleQuadratic Functions Questions IB math studies
TagsQuadratic Equation Cartesian Coordinate System Function (Mathematics) Tangent Equations
File Size334.7 KB
Total Pages55
Document Text Contents
Page 54

(b) Use your graph to find:

(i) the values of x when x
2
– 2x – 3 = 5

(ii) the value of x that gives the minimum value of x2 – 2x – 3

(Total 4 marks)



39. The profit (P) in Swiss Francs made by three students selling homemade lemonade is modelled
by the function

P = –

2

20

1
x

+ 5x – 30

where x is the number of glasses of lemonade sold.

(a) Copy and complete the table below

x 0 10 20 30 40 50 60 70 80 90

P 15 90 75 50
(3)



(b) On graph paper draw axes for x and P, placing x on the horizontal axis and P on the
vertical axis. Use suitable scales. Draw the graph of P against x by plotting the points.
Label your graph.

(5)



(c) Use your graph to find

(i) the maximum possible profit;

(1)

(ii) the number of glasses that need to be sold to make the maximum profit;

(1)

(iii) the number of glasses that need to be sold to make a profit of 80 Swiss Francs;

(2)

(iv) the amount of money initially invested by the three students.

(1)

IB Questionbank Mathematical Studies 3rd edition 54

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