These problems will require you to know how to evaluate exponential expressions and solve exponential equations. If the information for time is given in dates, you need to convert it to how much time has past since the initial time.
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.
Or, you may be given the final amount A and the initial amount Ao and you need to find the time t.
Some examples of exponential growth are population growth and financial growth.
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places.