Applications of Exponential and Logarithmic Functions
1)
Tritium has a halflife of 12.4 years.
If a sample contains 100 grams, how many grams
(rounded to the nearest tenth of a gram) will be remaining in 50 years?
2)
The halflife of cobolt56 is 78.76 days.
If there are 2000 grams of the cobolt56,
how
much (to the nearest tenth of a gram) is present after 100 days?
3)
The population of a certain small city is predicted to grow according to the model,
t
P
)
25
.
1
(
42
=
, where
P
is
in thousands
and
t
is time in
years
.
a)
What was the population at time 0 years?
b)
What will be in population (to the nearest tenth of a thousand) after 20
years?
4)
A colony of bacteria is growing according to the model
t
P
)
5
.
2
)(
10
2
(
5
×
=
, where
P
is the population and
t
is the number of hours.
a)
How many bacteria were there initially?
b)
How many bacteria will there be in 7 hours?
Write you answer using
scientific notation rounded to 2 decimal places.
5)
A city's population is growing according to the Population growth model.
If the initial
population is 75,000 and the growth rate is 0.012, what would be the population in
a)
5 years?
b)
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 Spring '08
 OwenDavis
 Logarithmic Functions, Logarithm, decimal places

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