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BELL RINGER

BELL RINGER. A certain bacteria doubles every 5 minutes. At this point in time, there exists 4 bacteria in a science experiment you are conducting. How many bacteria can you expect after 1 hour and 30 minutes have gone by?. Exponential Functions. Introduction (Penny Game).

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BELL RINGER

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  1. BELL RINGER A certain bacteria doubles every 5 minutes. At this point in time, there exists 4 bacteria in a science experiment you are conducting. How many bacteria can you expect after 1 hour and 30 minutes have gone by?

  2. Exponential Functions Introduction (Penny Game)

  3. Exponential Function • An exponential function has 3 components: Original amount, Growth/Decay Rate, # of times growth/decay occurs

  4. In General, • f(x) = abx How many times? By what rate are you increasing or decreasing? How much did you start off with?

  5. Growth Rate Growth Rate Multiplier • Increase 25% = • Decrease 7% = • Increase 5% = • Decrease 72% = • Double = • Triple = • Halved =

  6. Percent Increase/Decrease • 30% greater than 145 = • 2% less than 63 = • 55% greater than 4,000 = • 75% less than 399 = • 90% greater than 604 nine times = • 22% less than 2000 eleven times =

  7. Going back to our examples . . . • The population of Indonesia was 191,256,000 in 1990 and was increasing at a rate of 9%. Predict the population to the nearest hundred thousand of Indonesia in 2010.

  8. Decay . . . • A dye is injected into the pancreas during a certain medical procedure. A physician injects .3g of the dye, and a healthy pancreas will elmintate 4% of the dye each minute. Predict the amount of dye remaining in a healthy pancreas 30 min after the injection.

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