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

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?

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) ? ?

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

Unit 2 Exponential Functions Graphing Growth/Decay

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

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

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

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?

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?

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