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#### YTech9

1)Given G(t)=(1.35)^t+7

A)Describe the domain, range, intercept(s) and asymptotes of G(t).

B)Write a formula for the inverse function.

C)Describe the domain, range, intercept(s) and asymptotes of G^-1(t).

D)Use a table to verify that you computed G^-1(t) correctly.

E) Sketch both functions on the same set of axes.

2)Radioactive iodine is a byproduct of a certain type of nuclear reaction. Its half life is 60days. Suppose that an accident occurs and 45pounds of radioactive iodine is released into the environment. The amount of radioactive iodine decays according to the model: f(t)=ab^t.

A)Write a formula for f(t).

B)By what percent is the amount of radioactive iodine decreasing each day?

C)Calculate and interpret the following quantities. Explain why the values are not equal.

f(4)-f(0)/4

f(7)-f(3)/4

D)How long will it take until 80% of the released amount has decayed?