7.
(Exponential Functions) At the beginning of the year 2024, a scientist begins studying a population of
rabbits (also known as a fluffle of rabbits). If the rabbit population after *t* months can be modeled by
$$P(t)=73e^{0.218t}$$, use a graph on your calculator to determine how many months it will take for the
population to reach 850.
The amount of time for the rabbit population to reach 850 is:
(A) Less than 13 months
(B) Between 13 and 15 months
(C) Between 15 and 17 months
(D) Between 17 and 19 months
(E) More than 19 months
8.
(Exponential Functions) The amount of radioactive material in a 400-gram sample can be modeled by
$$A(t) = 400(0.863)^t$$, where *t* is the number of hours after a scientist begins studying the sample. Use a
graph on your calculator to determine the half-life of the radioactive sample.
The half-life is:
(A) Less than 1.2 hours
(B) Between 1.2 and 2.7 hours
(C) Between 2.7 and 4.2 hours
(D) Between 4.2 and 5.7 hours
(E) More than 5.7 hours