Round Goby….A Big Problem for the Great Lakes

How They got There: A Container Ship from Europe to the United States

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2 640,000,000

How did the fish population grow so fast?

Great for finding out:

1. Populations2. Radiation3. Disease4. How rich you can get from an investment5. How much money you owe the bank6. Your credit card bill

Exponential Growth Equation

Y = a(b) x

Startingamount

Growthor Decay

Factor

You decide to buy a house for $3000. The bank loans you the money at 14% interest (a growth rate of 1.14).

Can you find the equation for the amount you owe the bank: hint: Find the initial amount. Find the growth factor.

Y = 3000(1.14)x

$41,230.47

How much will you owe the bank after 20 years?

Prison Population the United States between 1986-2003

year Population

1986 522,000

1987 560,812

1988 603,732

1989 680,907

1990 739,980

2003 1,500,000

Y = 522,000(1.07)x

THE PROBLEM WITH BUNNIES

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A Couple of Rabbits Introduced to Australia by England in 1827

By 1990: 300,000,000 Rabbits

Plant Life before Rabbits

AfterRabbits

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Yearly Cost to Farmers:

$600,000,000

Rabbit Data

Generations Population

0 100

1 180

2 325

3 583

4 1050

Equation for bunny population growth:

Y = 100(1.8)x

What does the growth

look like on a graph?

The graph is special.

Common Graphaka: linear graph

Example situation: you save $5 each week

Example situation: I get one dollar the first week and double the

amount each week.

Exponential Graph

3

9

x y

0 2

1 8

2 32

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Y = 2(4)x

4.

How well do you understand

exponential graphs and equations?

3: Totally Understand2: Understand some parts1: Unsure