1. Applications!!! DO NOT EAT THE M&M’s YET!!!

5. Exponential Regression. Enter data: STAT button/EDIT column/EDIT function Enter turn data into L1/enter M&M’s data into L2 2nd button/MODE button Regression STAT button/CALC column/0 or ExpReg function Type L1, L2 Enter Y = a(b)x where a = __________/ b = _________ Does a equal your initial starting value? Why? Is this a half-life scenario? Why/Why not?

6. Growth & Decay Ex.#2 Let y represent the mass of a particular radioactive element whose half-life is 25 years. After t years, the mass in grams is given by . • What is the initial mass (when t = 0)? • How much of the element is present after 80 years?

7. Ex.#2 Let y represent the mass of a particular radioactive element whose half-life is 25 years. After t years, the mass in grams is given by . What is the initial mass (when t = 0)? How much of the element is present after 80 years? So points on the graph: Let m0 = initial mass m80 = mass after 80 yrs Points on graph (25, m0/2) (0, m0 ) (80, m0 ) Growth & Decay

8. Growth & Decay Ex.#3 Let y represent the mass of a particular radioactive element. After t years, the mass in grams is given by . • What is the initial mass (when t = 0)? • After 20 years there are 15 grams of the element left; what is the half life?

9. Compound Interest—Ex 1. The “easier questions” A __________ investment is made into a ____________ fund at a rate of ____. Compounded __________. Question: After ______ years how much money was in the account?

10. Compound Interest—Ex 2. Time to double of triple.. A investment is made into a ____________ fund at a rate of ____. Question: How long will it take for the investment to ________ in value?

11. Compound Interest—Ex 3. Find the rate… A investment is made into a ____________ fund at a rate of ____. Compounded __________. The balance after ___ years is _________. Question: What is the annual percentage rate?

12. Logistic Growth Models

13. Logistic Growth Models

15. H.W.: • p. 327 (30, 32, 33, 34, 36, 46, 63) • Ditto Section 4.4