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Mr. Wilkinson

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Exponential! Exponential? Give Me Props 2

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Give Me Props 1

Row 1, Col 1

Write the Now-Next Rule.Y = 45(1.022)x

Next = Now · 1.022, Start = 45

1,2

Exponential?A = 100(3)t

Exp. Growth, C = 100 and a = 3

1,3

Simplify:

2.38

(2.35 )(2.33)

1,4

x-4

1/x4

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

2,2

Exponential?Increasing at a rate of 24 per day

starting at 18.

NO, increasing at a constant rate (linear).

2,3

8x3/y6

2x

y2

⎛⎝⎜

⎞⎠⎟

3

2,4

8/27

3

2⎛⎝⎜

⎞⎠⎟

−3

3,1

Find when the following function reaches double it

initial amount. Y = 1000(1.2)x

When x ≈ 4

3,2

Exponential?Now = Next · 0.8

Start = 50

Exp. Decay, C = 50 and a = 0.8 (80%).

3,3

(4xy6)3(x2y)

64x6y19

3,4

6p8/5

12

10p−8

4,1

Write the “y = …” rule.Now = Next · Start = 430

Y = 430(2/3)x

2

3

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%).

4,3

7a13b3

(28a10b2 )2

4a7b

4,4

2·sqrt(10)

401

2

5,1

Draw a sketch of exponential growth and exponential decay. Describe each in terms of rates

of change.

See graphs.

5,2

Exponential?Now = Next - 0.5

Start = 21

No, decreasing at a constant rate (linear).

5,3

5/(4p3)

15p3q4

12p6q4

5,4

4·sqrt(3)

48