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MYTH You can’t fold a piece of paper in half more than 7 times.

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Presentation on theme: "MYTH You can’t fold a piece of paper in half more than 7 times."— Presentation transcript:

1 MYTH You can’t fold a piece of paper in half more than 7 times

2 TRY IT How many times can you fold a piece of paper in half? Motivational music Motivational music What changes could you try to make this possible? Paper Method Equipment WHY is it so difficult?

3 THE MATH If notebook paper is.003 in thick how think is the stack after 5 folds, 6 folds, 7 folds… How many pieces of paper are you actually trying to fold? Create a table to record the amount of paper with each fold. FOLD# of paperTHICKNESS (in) 01.003 12.006 24.012 38.024 416.048 532.096 664.192 7128.384 ? ?

4 Watch the pros? Video of mythbusters attempt to fold paper Video

5 Unit 2 Exponential Functions Graphing Growth/Decay

6 Exponential functions An exponential function has the form: A few requirements: An exponential function has the x as the exponent!! Exponent Base Function notation Y-int

7 DECAY IF : 0 < b < 1 “ b is a fraction less than one” Growth if: b > 1

8 Word problems You can model exponential growth or decay with: Ending amount Initial amount Rate(decimal) Time

9 Example If you invest $1000 in a savings account that pays 5% annual interest. How much money will you have after six years? How many years will it take for the account to grow to at least $1500?

10 Example A new car is worth $20,000 and is expected to depreciate 12% each year. How much will the car be worth after 10 years? How long will it take for the car to be worth half it’s original value?

11 Practice Pg 439 #18-28, 26, 27, 28, 31, 32


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