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Learn how the Round Goby, introduced through a container ship from Europe, rapidly multiplied in the Great Lakes. Explore exponential growth equations to understand their population surge and the impact on the ecosystem.
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How They got There: A Container Ship from Europe to the United States
14 years later 2 640,000,000
Great for finding out: Populations How rich you can get from an investment How much money you owe the bank Your credit card bill Exponential Growth
Exponential Growth Equation Y = a(b) x Growth or Decay Factor Starting amount
You decide to buy a house for $3000. The bank loans you the money at 14% interest. 1. Find the initial amount. Find the growth factor. What is the equation showing how much you owe after x years? Y = 3000(1.14)x 1A. How much will you owe the bank after 20 years? $41,230.47
A Couple of Rabbits Introduced to Australia by England in 1827
Plant Life before Rabbits After Rabbits
Y = 100(1.8)x 2. Rabbit Data 3. What is the equation for rabbit population growth?
How can you find the equation for exponential growth by looking at a graph?
3. 4 2 Y = 1(2)x
4. Y = 2(4)x 9 3
5. 19 years 9 3 How many years will it take for the population to reach 5,811,307,335?
6. What are the steps for finding an equation from an incompete table? • How do you find b? • How do you find a? Y = 5(2)x
7. How many years will it take the population to reach 12,288? 12 years
8. How many years will it take the mice population to reach 34,867,844,010? 20 years
How well do you understand exponential graphs and equations? 3: Totally Understand 2: Understand some parts 1: Unsure