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This lesson explores the similarities and differences between linear and exponential functions, as well as ways to describe, create, and evaluate these graphs. Students will also learn how exponential growth connects to real-life scenarios.
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Bell Work 4/2/2015 • Write in FULL SENTENCES 3 things you will accomplish over Spring Break. • Bell Work Log DUE TODAY!!!!
Today’s Objective: • How are linear functions (prior knowledge) and exponentialfunctionsalike/different? • What are someways to describe, create, and evaluatethese graphs? • How doesexponentialgrowthconnect to real life?
Warm-Up You have won the Math Lottery! You have payment options: Wouldyouratherreceive one cent on Day 1, double that, or two cents on Day 2, and so on, doublingyourpaymenteveryday for the next 30 days, or exactly $1,000,000 up front? 1 minute – GO!
Cool Fact:All exponential growth functions look like this! What does Exponential Growth look like? Table of Values: Consider y = 2x
Example: You deposit $1,500 in an account that pays 6% annual interest. Find the balance after 5 years if the interest is compounded: a. Quarterly. b. Monthly. P = 1500 t = 5 r = 0.06 a. n = 4 b. n = 12 = $2020.28 = $2023.28
Cool Fact:All exponential decay functions look like this! What does Exponential Decay look like? Consider y = (½)x Table of Values:
Class Work • Complete the Exponential Growth/Decay worksheet • Worksheet is due at the end of class today!!!!! • Have a great Spring Break