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930 Module 10 Lesson 1 (Day 2) Exit Slip Exponential Functions Name:______________________ Period:__________ Corriveau Ancona Vidal 1. Use two points to write an equation from each function. ______________________________________ 2. Write an equation for the given function. ________________________________________ 3. Write a function for the thickness of folding a piece of paper in half that is 0.2 millimeters thick, and determine the thickness after 3 and 7 folds. Equation: _______________________________ 3 folds: 7 folds: 4. A pharmaceutical company is testing a new antibiotic. The number of bacteria present in a sample 1 hour after application of the antibiotic is 50,000. After another hour, the number of bacteria present in the sample is 25,000. The number of bacteria remaining r(n) is an exponential function of the number of hours since the antibiotic was applied n. Write an equation for the number of bacteria remaining after n hours. _______________________________________________ Answers: 1. f(x) = (0.5)x 1 2. f(x) = 3(3)x 4. r(n) = 100,000(0.5)n 3. t(n) = 0.2(2)x; 1.6 mm; 25.6 mm