This Week In AIG It’s a BIG Week!! Thursday – Project is Due!! Paper Double Space Font Size 12 Referenced Save PP to CD or to Friday – Performance Exam! Friday – Performance Exam! Entering the last stretch. It’s Crunch Time!!

Think about it… Linear, Quadratic or Exponential?

Growth or Decay? When b > 1, the function f(x) = b x represents exponential growth. When b > 1, the function f(x) = b x represents exponential growth. When 0 < b < 1, the function f(x) = b x represents exponential decay. When 0 < b < 1, the function f(x) = b x represents exponential decay.

Growth or Decay?

Graphs: Both graphs approach the x-axis but never reaches it…we call the x-axis an asymptote.

ET’s General Formula Original (Multiplier) Time

Example 1: Growth  The population of the United States was 248,718,301 in 1990 and was projected to grow at a rate of about 8% per decade. MultiplierGeneral Formula  Predict the population, to the nearest hundred thousand, for the years 2010 and 2025.

Example 2: Decay The rate at which caffeine is eliminated The rate at which caffeine is eliminated from the bloodstream is about 15% per hour. An adult drinks a caffeinated soda, and the caffeine in his or her bloodstream reaches a peak level of 30 milligrams. MultiplierGeneral Formula –Predict the amount, to the nearest tenth of a milligram, of caffeine remaining 1 hour after peak and 4 hours after the peak level.

Example 3: Growth or Decay? Predict the population of bacteria Predict the population of bacteria for each situation and time period. for each situation and time period. 55 bacteria that double every hour 55 bacteria that double every hour MultiplierGeneral Formula a) after 3 hours b) after 5 hours c) after 30 minutes

Compound Interest Formula  The total amount of an investment, A, earning compound interest is: P is the principle (starting amount) r is the interest rate n is the number of times interest is compounded per year t is the time in years.

Find the final amount of a $100 investment after 10 years at 5% interest compounded annually.  P =  r =  t = Annually  n =

Find the final amount of a $100 investment after 10 years at 5% interest compounded quarterly.  P = $100  r =.05  t = 10 Quarterly  n =

Find the final amount of a $100 investment after 10 years at 5% interest compounded daily.  P = $100  r =.05  t = 10 Daily  n =

Assignment: Page 132 # 14, 15 Page 133 # 13 – 15 Page 137 #13, 14 Page 138 #10 a, d, 11 – – 13 Look at page 137 #13