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If you need a review on these topics, feel free to go to Tutorial 42: Exponential Functions and Tutorial 45: Exponential Equations. For example, if the model is set up at an initial year of 2000 and you need to find out what the value is in the year 2010, t would be 2010 - 2000 = 10 years.

I can do this by working from the definition of "half-life": in the given amount of time (in this case, hours.

The two solutions provided differ slightly in their approach in this regard.

Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material.

I do not have the decay constant but, by using the half-life information, I can find it.

(Since this is a decay problem, I expect the constant to be negative.