Quadratic Functions Worksheet - Unit #4 & 5 Review Page 5

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MPM2D
Unit #4 & 5 Review
Quadratic Functions
10. A small flare is launched off the deck of a ship. The height of the flare above
h
the water is given by the equation
, where
is measured in
2
h
4
9 .
t
92
t
9
t
metres and
is time in seconds.
a) When will the flare hit the water?
b) When will the flare reach its maximum height?
c) What is the maximum height of the flare?
d) When will the flare’s height be 150 m?
e) How long will the flare’s height be above 150 m?
11. Sherri sells photos of athletes to baseball, basketball, and hockey fans after their
games. Her regular price is $10 per photograph, and she usually sells about 30
photographs. Sherri finds that, for each reduction in price of $0.50, she can sell an
additional two photographs.
a. At what price will Sherri’s revenue be $150?
b. At what price will her revenue be $0?
12. A rectangular picture frame measures 20 cm by 30 cm. A new frame is to be made by
increasing each side length by the same amount. The resulting enclosed area is to be
1064
. Find the dimensions of the new picture frame.
2
cm
13. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by
40 cm by cutting squares of equal size from each corner. The base area is to be 875
.
2
cm
14. The Sticker Warehouse sells rolls of stickers for $4.00 each. The average customer
buys six rolls of stickers. The owner finds that, for every $0.25 decrease in price,
the average customer buys an additional roll. With how many price reductions will the
revenue per customer be $30?

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