3. Write the exponential growth function to model the following situation:

A population of 422, 000 increases by 12% each year.

4. At t = 0 there are 50 grams of a radioactive isotope. The isotope has a half-life of 16 minutes. Use the exponential decay model to write the amount A as a function of time t.

1 answer

p(t) = 422000 * 1.12^t

A(t) = 50(1/2)^(t/16)
Note that every time t grows by 16, A(t) is 1/2 as much.
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