Exponential Models

1
Exponential Models
2
Would you rather have?

• 1 penny today, 2 cents tomorrow, 4 cents the day
  after, 8 cents the day after ..for 1 month (31
  days)
• OR
• 1 000 000 right now!

3
To recognize an exponential relationship, look
for a growth or decay factor
d P Growth Factor
0 51.2 --------------
1 64 64 / 51.2
2 80 80 / 64
3 100 100 / 80
4
Caffeine!!!
5

• Caffeine is completely absorbed by the stomach
  and small intestine within 45 minutes of
  ingestion.
• After ingestion it is distributed throughout all
  tissues of the body.

6

• The Half-Life of caffeinethe time required for
  the body to eliminate one-half of the total
  amount of caffeine consumed at a given
  timevaries widely among individuals according to
  such factors as age, liver function, pregnancy,
  some concurrent medications, and the level of
  enzymes in the liver needed for caffeine
  metabolism.
• In healthy adults, caffeine's half-life is
  approximately 34 hours.

7
You consume a RockStar cola which contains 300 mg
of caffeine.20 mg of caffeine is considered
tolerable. How much is left in your system
after 6h,12h,18h
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Exponential Models

• In a TOV, the growth/decay factors are equal
• The graph resembles an exponential curve
• The equatoin can be written in the form
• y abx, where a is the starting value and b
  is the factor

9
Homework

• Pg 315
• 1-7