Suppose that b satisfies b > 1. Explain the relationship
between the graphs of
Suppose that f(x) is an exponential function that satisfies
. Find the value of b so that
and compute the value of f(2).
Suppose that the population of a certain bacteria can be modeled
by an exponential function. In a particular experiment, the number of
bacteria was 10,000 at t=0. Four hours later, the number of
bacteria was 250,000. Suppose a second experiment is performed under
the same conditions, but the number of bacteria at t=0 is only
2000. Show, using the equation for exponential growth, that the
predicted number of bacteria after four hours in this second
experiment is 50,000.
Suppose that for a certain drug, the following results were
obtained. Immediately after the drug was administered, the
concentration was 3.3 mg/ml. Six hours later, the concentration had
dropped to 1.55 mg/ml. Determine the value of k for this drug.
Suppose that for the drug in the previous exercise, the maximum
safe level is and the minimum effective level is
. What is the maximum possible time between doses
for this drug?