Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 6

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18 A ball is dropped from a height of 8 feet and allowed to bounce. Each
Use this space for
computations.
time the ball bounces, it bounces back to half its previous height.
The vertical distance the ball travels, d, is given by the formula
n
k
( )
1
d = 8 + 16
, where n is the number of bounces. Based on this for-
2
k =
1
mula, what is the total vertical distance that the ball has traveled after
four bounces?
(1) 8.9 ft
(3) 22.0 ft
(2) 15.0 ft
(4) 23.0 ft
19 The path traveled by a roller coaster is modeled by the equation
y = 27 sin 13x + 30. What is the maximum altitude of the roller coaster?
(1) 13
(3) 30
(2) 27
(4) 57
11
20 The expression
is equivalent to
5
3
3
5
3
5
(1)
(3)
2
2
+
+
3
5
– 3
5
(2)
(4)
2
2
[6]
Math. B – Aug. ’04

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