Hosted by Mr. Wilkinson
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Transcript of Hosted by Mr. Wilkinson
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Hosted
by
Mr. Wilkinson
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100 100100
200 200200
400 400400
300300
400400
Exponential! Exponential? Give Me Props 2
300 300300 300300
200200
400400
200
100100
500 500500 500500 500500
100
Give Me Props 1
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Row 1, Col 1
Write the Now-Next Rule.Y = 45(1.022)x
Next = Now · 1.022, Start = 45
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1,2
Exponential?A = 100(3)t
Exp. Growth, C = 100 and a = 3
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1,3
Simplify:
2.38
(2.35 )(2.33)
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1,4
x-4
1/x4
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2,1
Find the “y = …” rule for the following table.
Y = 2500(1.05)x
year 0 3 6 9 12 15
$ 2500 2894 3350 3878 4490 5197
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2,2
Exponential?Increasing at a rate of 24 per day
starting at 18.
NO, increasing at a constant rate (linear).
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2,3
8x3/y6
2x
y2
⎛⎝⎜
⎞⎠⎟
3
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2,4
8/27
3
2⎛⎝⎜
⎞⎠⎟
−3
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3,1
Find when the following function reaches double it
initial amount. Y = 1000(1.2)x
When x ≈ 4
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3,2
Exponential?Now = Next · 0.8
Start = 50
Exp. Decay, C = 50 and a = 0.8 (80%).
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3,3
(4xy6)3(x2y)
64x6y19
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3,4
6p8/5
12
10p−8
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4,1
Write the “y = …” rule.Now = Next · Start = 430
Y = 430(2/3)x
2
3
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4,2
Exponential?Decreasing at a rate of 10% per
year starting at 250,000.
Exp. Decay, C = 250,000 and a = 0.9 (90%).
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4,3
7a13b3
(28a10b2 )2
4a7b
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4,4
2·sqrt(10)
401
2
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5,1
Draw a sketch of exponential growth and exponential decay. Describe each in terms of rates
of change.
See graphs.
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5,2
Exponential?Now = Next - 0.5
Start = 21
No, decreasing at a constant rate (linear).
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5,3
5/(4p3)
15p3q4
12p6q4
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5,4
4·sqrt(3)
48