7 6 study guide and intervention continued growth and decay exponential decay radioactive decay and depreciation are examples of exponential decay this means that an initial amount decreases at a steady rate over a period of time the general equation for exponential decay is y a1 rt o y represents the fi nal amount. 7 8 study guide and intervention using exponential and logarithmic functions exponential growth and decay exponential growth fx aekt where a is the initial value of yt is time in years and k is a constant representing the rate of continuous growth exponential decay fx ae kt where a is the initial value of yt is time in years and . Study guide and intervention continued growth and decay name date period 10 6 exampleample exercisesexercises skills practice growth and decay an example of exponential growth or decay 1 a coin had a value of 117 in 1995 its value has been increasing at a rate of 9 per year. 7 1 study guide and intervention continued graphing exponential functions exponential decay the following table summarizes the characteristics of exponential decay functions parent function of exponential growth functions fx bx b 1 1 the function is continuous one to one and decreasing 2 the domain is the set of all real
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