Unit 3 Quadratics Relations 1 Worksheet Page 28
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45MBF3C
Name:
BLM3.4.2
Date:
Money, Money, Money
A study of the finances of Dominion Motors has shown that the profit of the company
can be described by the equation
2
P = -2(n – 200)
+ 450 000
Where P represents profit and n represents number of cars sold
(a)
What is the maximum possible profit possible? ____________
(b)
How many cars need to be sold to achieve this profit? _______
(c)
What other information could the graph of this function provide?
Sub’s Way
The Canadian Armed Forces are testing their new aerial-entry rescue yacht. This
craft is dropped into the water from an air transport; it then follows a parabolic
underwater path while resurfacing. The specifications indicate that the parabolic
path is 6m in width, and reaches a depth of 18m.
(a)
On the graph, the yacht
enters the water at (0, 0).
Sketch its path.
(b)
Write the parabola’s
equation
(c)
If properly “aimed” could
the yacht be sent under a
rectangular boat that was
4m wide, but floated 3m
deep?
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