Applications. Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used...
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10.6 Exponential Growth and Decay Applications
Applications. Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used in estimating the age of rocks. The half life of U-235
Assignment Radioactive Dating Uranium-235 is one of the
radioactive elements used in estimating the age of rocks. The half
life of U-235 is 703.8 million years. A rock found in the
Australian Outback is estimated to have 20% of the U-235 it had
when it was formed. What is the age of the rock?
Slide 3
Assignment - Solution Radioactive Dating Uranium-235 is one of
the radioactive elements used in estimating the age of rocks. The
half life of U-235 is 703.8 million years. A rock found in the
Australian Outback is estimated to have 20% of the U-235 it had
when it was formed. What is the age of the rock? The age of the
rock is then estimated to be 1.6 Billion years old.
Slide 4
Exponential Growth According to the Census Bureau, the Hispanic
population of Chicago in 2000 was 753,649. By 2010, that figure was
778,862. Assuming that the Hispanic population in Chicago may be
modeled by an exponential growth model estimate the Hispanic
population in 2015.
Slide 5
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y)
Slide 6
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y)
2000753,649
Slide 7
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 2000753,649
2010778,862
Slide 8
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 2000753,649
2010778,862 2015???
Slide 9
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 10
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 11
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 12
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 13
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 14
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 15
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 16
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 17
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 18
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 19
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 20
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 21
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 22
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 23
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15??? Again, storing the compute value of k may help
moving forward.
Slide 24
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 25
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 26
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 27
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 28
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 29
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15???
Slide 30
Exponential Growth As with previous modeling, a table of values
will help us develop a model. Time (t) Population (y) 0753,649
10778,862 15??? The Hispanic population of Chicago in the year 2015
is estimated to be 791,784.
Slide 31
Assignment According to the Census Bureau, the population of
Chicago in 2000 was 2,895,995. By 2010, that figure was 2,695,598.
Assuming that the population of Chicago may be modeled by an
exponential growth model estimate the population in 2015.
Additionally, compute the proportion of Hispanics in Chicago for
the years 2000, 2010 and 2015 and determine an appropriate
conclusion that may be drawn from the data.