half life calculus problem

May 2010
1
0
The question, info, and graph are below:
Picasa Web Albums - 10760799570337620... - Calculus

The scenario is basically about a museum being offered a tapestry that is claimed to be 2.000 years old. As a "mathematical contractor" I am supposed to determine the age of this tapestry using the methods of Carbon-14 dating. Im stuck and any help will be appreciated, thx.
 

CaptainBlack

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The question, info, and graph are below:
Picasa Web Albums - 10760799570337620... - Calculus

The scenario is basically about a museum being offered a tapestry that is claimed to be 2.000 years old. As a "mathematical contractor" I am supposed to determine the age of this tapestry using the methods of Carbon-14 dating. Im stuck and any help will be appreciated, thx.
Why are you stuck, you are given the C_14 concentration in the sample 190ng/g, you are given a graph of the age zero C_14 concentration in the same units, and the half-life of C_14.

Correct the data in the graph from age zero concentration to that today, then look up the tapestries C_14 concentration on the resulting graph to get the age of the sample.

(By the way it is obviously no more than 500 years old)

CB