Bell Work4/2/2015 Write in FULL SENTENCES 3 things you will accomplish over Spring Break. Bell Work Log DUE TODAY!!!!

Exponential Growth » Extension Lesson

Today’s Objective: How are linear functions (prior knowledge) and exponential functions alike/different? What are some ways to describe, create, and evaluate these graphs? How does exponential growth connect to real life?

Warm-Up You have won the Math Lottery! You have payment options: Would you rather receive one cent on Day 1, double that, or two cents on Day 2, and so on, doubling your payment every day for the next 30 days, or exactly $1,000,000 up front? 1 minute – GO!

What does Exponential Growth look like? Table of Values: x 2x2x2x2xy ¼ 2 -1 ½ Consider y = 2 x Cool Fact: All exponential growth functions look like this!

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 = $

What does Exponential Decay look like? Consider y = (½) x Table of Values: x (½) x y -2 ½ -2 4 ½ ½0½0½0½01 1 ½1½1½1½1½ 2 ½2½2½2½2¼ 3 ½3½3½3½31/8 Cool Fact: All exponential decay functions look like this!

Class Work Complete the Exponential Growth/Decay worksheet Worksheet is due at the end of class today!!!!! Have a great Spring Break