In many religions there are festivals and ceremonies around light. One ceremony of light could be if Brewster gathered at night in one place and each student received a candle to light. If our senior prefect started the ceremony by lighting 2 other student's candles, and those 2 students lit 2 more student's candles, and those students each lit 2 more candles and so on... How many times will we need to pass the light on to light all the student's candles? Iteration 0 Iteration 1 What pattern do you notice is happening between each iteration? What mathematical function represents this ceremony? How would the function change if we started with 3 people with lit candles, and passed to 4 people? Create a function that represents each situation 1. What number represents the rate? 2. Create an equation that represents the situation. A - Brewster's school policy is that each day an assignment is late it earns a -10% penalty. B - COVID-19 has a transmission rate of of R = 2 to 3. A B 1Learning Target 2 Determine the outputs of each function with the inputs x = [- 3, - 2, - 1, 0, 1, 2, 3] h (x ) = 2(3) " +5 o (x) = 2(0. 3) + 5 36 rate O. D 26 i(x) = 2(1. 01) + 5 g (x ) = 2(=)* +5 2 rate VOS x X m(x) = 2(- 0.6)# +5 -# p(x) = 2(3) +5 - 3 - 4,2 - 2 10 . 3 0 - 1 1. 667 7 3. 8 we . Circle which functions are growing, underline which functions are decaying h (x ) o (x) j (x) g (x) m (x) p(x) y = a(b) + c Notice the pattern: Explain how the b-value affects the growth or decay of the function. no TonutM3511: Exponential Growth Exit ticket Name: Learning Targets 1. Students will learn the difference between growth rates of difference functions. I still have questions about this I feel I understand this I am ready for the next challenge 2. Students will explore the growth and decay of exponential applications. I still have questions about this I feel I understand this I am ready for the next challenge 1. Create a function that has a positive growth rate. 2. Create a function that has a decay rate. 3. Explain how exponential growth can model a real life situation