The amount A(t) of atmospheric pollutants in a certain mountain valley grows exponentially and was measured (in pu, pollutant units) as follows during the 1990s:
Year | 1991 | 1993 | 1995 | 1997 | 1999 |
PU | 11.7 | 16.0 | 21.9 | 30.0 | 41.1 |
a. Find the best-fitting exponential function of the form A(t) = A0 • ert.
b. Suppose it will be dangerous to stay in the valley when the amount of pollutants reaches 100 pu. When will this occur?
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