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AQR Population Growth & Decay 1/14
Contributed by: Buchanan
Rowlett - population 2,500
Assume that Rowlett's population is increasing by
30% each year.  Find a single number which you could
multiply the current population in order to find out
what next year's population would be.  Then write an
expression that can be used to find the population
in future years "an".

Multiplier: __________________
Expression for future years:   an =           x           n-1
Sachse - population 1,000
Assume that Sachse has a population growth of
70% each year.  Find a single number which you could
multiply the current population in order to find out
what next year's population would be.  Then write an
expression that can be used to find the population
in future years "an".

Multiplier: __________________
Expression for future years:   an =           x           n-1
{HINT: Round to the 3rd
decimal place if you can.}
Now fill out a chart for the population growth of
Rowlett.
{HINT: Round to the 3rd
decimal place if you can.}
Now fill out a chart for the population growth of
Sachse.
Strontium-90 has a half-life of 25 years.  How long
 would it take 40 mg of it to decay to:
A) 20 mg

B) 1.25 mg
years
years
The half-life of palladiim-100 is 4 days.  In 16 days an
intial sample has been reduced to a mass of 0.75 g. 
Determine the starting mass.
grams
Write an explicit function rule for this situation:
                                     an =              x            n-1
Include the 0 before decimals
A cup of coffee contains approximately 96 mg of
caffeine.  When you drink the coffee, the caffeine is
absorbed into the bloodstreeam and eventually
metabolized by the body.  Every 5 hours the amount of
caffeine present in the body  is reduced by one-half. 
How many hours does it take for the amount of caffeine
to be reduced to 12 mg?
hours
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