a.
To find: The percent of carbon-14 remains after 2500 years, 5000 years, and 10000 years.
73.9% of the original amount of carbon-14 remains in the sample after 2500 years.
54.6% of the original amount of carbon-14 remains in the sample after 5000 years.
29.8% of the original amount of carbon-14 remains in the sample after 10000 years.
Given:
The equation
Calculation:
When
Hence, 73.9% of the original amount of carbon-14 remains in the sample after 2500 years.
When
Hence, 54.6% of the original amount of carbon-14 remains in the sample after 5000 years.
When
Hence, 29.8% of the original amount of carbon-14 remains in the sample after 10000 years.
b.
To graph: The given model.
Given:
The equation
Calculation:
The given equation passes through the points
Now the graph is,
c.
To find: The age of the bone when it was found.
8129 years.
Given:
The equation
Calculation:
From the graph in subpart (b), it can be seen that 37% of the carbon-14 present in the sample after 8219 years.
Hence, the age of the bone is 8129 years when it was found.
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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