Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1-3. Quiz
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Exercise 8 Page 298

Rewrite the given function to match either the format of exponential growth or exponential decay.

Growth or Decay? Exponential decay
Percent Rate of Change: 40 %

Practice makes perfect
Let's start by recalling the general formula of exponential growth and exponential decay functions. cc Exponential Growth & Exponential Decay [0.8em] y=a(1+r)^t & y=a(1-r)^tIn both cases, a and r are positive numbers. For exponential decay, r is less than 1. Let's rewrite the given function to match one of the above formulas.
y=80(3/5)^t
y=80(6/10)^t
y=80(0.6)^t
y=80(1-0.4)^t
Our function matches the format of exponential decay. Here a= 80 and r= 0.4. y= 80(1- 0.4)^t This means that the rate of decay, also known as the percent of change, is 40 %.