Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Exponential Growth and Decay
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Exercise 53 Page 288

What is the growth factor of the function that represents the number of sick people?

200 %

Practice makes perfect

Let's first write a function that represents the number of sick people tripling every week. \begin{gathered} y=a({\color{#A800DD}{3}})^t \end{gathered} Notice that this function is an exponential growth function since the growth factor is greater than 1. Therefore, we should be able to write it in the following form. y=a(1+ r)^t For our function, the term (1+ r) is equal to 3, so r= 2. 1+ r = 3 ⇔ r= 2 As a percent, the growth rate is equalto 200 %.