T/F: The half-life of the exponential function P(t) = et is T = ln(2).

Cesium-137 has a half life of 30 years, create an equation F(t) to give the percentage of the cesium-137 remaining after t years

Find the exponential function f(x) = a whose graph is given. f(x) = y 3 2 (-1,) -2 -1 1/2

One model for the spread of rumors assumes that the change in number of people who have read about a rumor on social media is an exponential function. Asssume that the change in number of people R(t) reading about a rumor t hours after the rumor is started is given bydR/dt=6 e0.06t , and that 3 hours after the rumor is started that 200 people have read the rumor.Determine the formula for R(t) = number of people who have read about the rumor at time t

A certain phenomenon has an initial value of 12 and grows at a rate of 8% per year. Give an exponential function N = N(t) that describes this phenomenon. (Use t in years as your variable.)

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