Applications. Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used...

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10.6 Exponential Growth and Decay Applications

Transcript of Applications. Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used...

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  • Applications
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  • 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?
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  • 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.
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  • 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.
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  • Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y)
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  • Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 2000753,649
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  • Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 2000753,649 2010778,862
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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.
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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???
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  • 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.
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  • 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.