1. 2/5/2013

2. Warm-Up 3 (2.4.2014) 1. Create a geometric sequence with 4 terms. 2. Write an explicit rule for the table: 3. How many bacteria would there be at hour 6? HoursNumber of bacteria 04 116 264 3256

3. 1. In year 2 there are 40 lizards 2. In year 1 there are 20 lizards 3. At about 3.5 years 4. and this continues 5. 10 6. Keep multiplying by 2 each year. Homework Check 5.5

4. HW 5.10 Check 1. y=302.892. quarterly, $0.32 more 3. 402.554. 3486784401 5. a)b) c)

5. Drug Filtering Assume that your kidneys can filter out 25% of a drug in your blood every 4 hours. You take one 1000-milligram dose of the drug. Fill in the table showing the amount of the drug in your blood as a function of time. The first three data points are already completed. Round each value to the nearest milligram

6. Time since taking the drug (hrs) Amount of drug in your blood (mg) 01000 4750 8562 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68

8. 3. How many milligrams of the drug are in your blood after 2 days? 4. Will you ever completely remove the drug from your system? Explain your reasoning. 5. A blood test is able to detect the presence of the drug if there is at least 0.1 mg in your blood. How many days will it take before the test will come back negative? Explain your answer.

9. Initial (starting) value = a Growth or Decay Factor = b x is the variable, so we change that value based on what we are looking for! Remember that the growth or decay factor is related to how the quantities are changing. Growth: Doubling = 2, Tripling = 3. Decay: Losing half = Losing a third = Recall: y = ab x

10. Exponential Decay Is When b is between 0 and 1! Growth : b is greater than 1

11. If the rate of increase or decrease is a percent: we use a base of 1 + r for growth or 1 – r for decay r = rate as a DECMIAL!

12. Finding our Base! What would b be in our equation? Either b= 1+r or b=1-r 1. Increase of 25%2. increase of 130% 3. Decrease of 30% 4. Decrease of 80%

13. Growth Factor to Percent Find the percent increase or decease from the following exponential equations. Remember either b=1+r or b=1-r 1. Y = 3(.5) x 2. Y = 2(2.3) x 3. Y = 0.5(1.25) x

14. Ex 1. Suppose the depreciation of a car is 15% each year? A) Write a function to model the cost of a $25,000 car x years from now. B) How much is the car worth in 5 years?

15. Ex 2: Your parents increase your allowance by 20% each year. Suppose your current allowance is $40. A) Write a function to model the cost of your allowance x years from now. B) How much is your allowance the worth in 3 years?

16. Complete the 2 practice problems

17. Other Drug Filtering Problems 1. Assume that your kidneys can filter out 10% of a drug in your blood every 6 hours. You take one 200-milligram dose of the drug. Fill in the table showing the amount of the drug in your blood as a function of time. The first two data points are already completed. Round each value to the nearest milligram.

18. TIME SINCE TAKING THE DRUG (HR) AMOUNT OF DRUG IN YOUR BLOOD (MG) 0200 6180 12 18 24 30 36 42 48 54 60 66

20. A) How many milligrams of the drug are in your blood after 2 days? B) A blood test is able to detect the presence of the drug if there is at least 0.1 mg in your blood. How many days will it take before the test will come back negative? Explain your answer.

21. 2. Calculate the amount of drug remaining in the blood in the original lesson, but instead of taking just one dose of the drug, now take a new dose of 1000 mg every four hours. Assume the kidneys can still filter out 25% of the drug in your blood every four hours. Have students make a complete a table and graph of this situation.

22. TIME SINCE TAKING THE DRUG (HR) AMOUNT OF DRUG IN YOUR BLOOD (MG) 01000 41750 82312 12 16 20 24 28 32 36 40 44 48

24. A) How do the results differ from the situation explored during the main lesson? Refer to the data table and graph to justify your response. B) How many milligrams of the drug are in your blood after 2 days?

25. HW 5.6

26. HW 5.10