Exponential Growth and Decay
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Solve each using Q = Q0 e to the rt power
A radioactive substance decays exponentially, If 500 grams of the substance were present intially and 400 grams are present 50 years later, how many grams will be present after 200 years?
It is estimated that the population of a certain country grows exponentially. If the population was 50 million in 1990 and 80 million in 1995, what will the population be in 2010?
Applied Calculus 9th edition by Laurence D Hoffman and Gerald L. Bradley
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Solution Summary
This solution demonstrates how to solve for exponential growth and exponential decay using two separate examples.
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1) You are given a Q0 of 500 g, a Q of 400 g, and a t of 50 years. You can plug these into your equation:
400 = 500 * e^50r
0.8 = e^50r
ln(0.8) = 50r
r = -0.00446
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