1 / 36

Warm Up

Understand exponential growth and decay using integral and rational exponents. Solve equations, apply laws of exponents, and analyze exponential functions. Practice problems included.

atroutman
Download Presentation

Warm Up

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Simplify each expression: 4. 5. 6.

  2. Test Results 2nd Period Average: 86.8% Median: 89.3% 3rd Period Average: 89.4% Median: 90.7% 4th Period Average: 85.6%Median: 88.0%

  3. Chapter 5 Exponents and Logarithms

  4. 5.1 Growth & Decay: Integral Exponents 5.2 Growth & Decay: Rational Exponents Exponent Rules Growth and Decay Exponential Functions Solving Equations With Exponents

  5. Laws of Exponents Same Bases Same Exponents If and only if x=y Ex: means

  6. Laws of Exponents b0=1 or

  7. Exponential Equations a = starting value b = multiplier x = time Exponential growth and decay- given a rate = the initial amount, r = the rate as a decimal, t = time r is positive for growth, negative for decay tis positive for the future, negative for the past

  8. 5.1 Growth & Decay: Integral Exponents Currently, a hamburger costs $4.00. C(t) is an exponential function

  9. 5.1 Growth & Decay: Integral Exponents

  10. r is positive for growth r is negative for decay

  11. 5.1 Growth & Decay: Integral Exponents

  12. 5.2 Growth & Decay: Rational Exponents

  13. A population of 10000 frogs decreases at an annual rate of 22%. How many frogs were there in 5 years ago?

  14. Given the equation , what is true? the starting point is smaller than the growth factor the equation is growing at 63% this is a linear equation the rate is -0.37

  15. A type of bacteria has a very high exponential growth rate at 80% every hour. If there are 10 bacteria, determine how many there will be in 5 hours. 189 180 18.9 18

  16. A species of extremely rare, deep water fish rarely have children. If there are a 821 of this type of fish and their growth rate is 2% each month, how many will there be in half of a year? 821 52544 525.44 924

  17. Given this table, what’s the equation?

  18. A culture of bacteria contained 3,842,700 cells on one day and is growing at a daily rate of 6.8%. How many cells would be present 2 daysand 9 hours later? 4,650,430 13,174,860 4,492,552 15,370,800

  19. If there are 20 foxes in the forest this year, and 21 after one year, what is the growth rate of the foxes? a) 1% b) .5% c) .95% d) 5%

  20. If the starting population of 5 rabbits grows at 200% each year, how many will there be in 20 years?

  21. If the starting population of 5 rabbits grows at 200% each year, how many will there be in 50 years? too many to fit on my calculator

  22. Class Exercises Pg 177 #1,2,5-9,13,17

  23. Homework Page 173 #9,13,17,21,25,29,33,34,35 Page 178 #1,5,7,9,13,15,17,29,31,35,37

  24. Simplify

  25. 5.1 Growth & Decay: Integral Exponents

  26. 5.1 Growth & Decay: Integral Exponents

  27. 5.1 Growth & Decay: Integral Exponents Common Mistake Positive Exponents Common Denominator

  28. 5.1 Growth & Decay: Integral Exponents

More Related