Hi,

The Half-life of carbon-14 is 5700 years.



.5  =  ,   = k,  k = .00012 

 A sample of carbon 14 originally contained 75 grams. 

 A) Based off this information please create an equation 

 B) What is a reasonable domain and range for your model in the context of this problem? Domain all real numbers t ≥ 0, 

Range 0 > Q(t) ≤ 75

 C) Use your model to predict the amount of carbon 14 left in the sample after 2000 years.



 D) How ling will it take for the sample to contain only 10 grams of carbon 14

 10/75 = e^(.00012t),   

 E) How long will it take for 80% of the carbon 14 in the sample to decay?     

.80= e^(-.00012t),   

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