5. How fast would a zombie-like outbreak take over the world? Let's find out. In a secret government facility, a biological weapons test goes horribly wrong, turning 10 test subjects into the walking dead. Every hour each zombie has managed to bite, and infect, 3 people. Assuming the rate remains constant for the first 24 hours after the outbreak begins, how many people would have been zombified 1 day later. a) Use the chart to keep track of the increase in zombies through infection after t hours. t (hours) A (# if infected) b) Use the chart to determine the following- 1. What type of function is this? 1 2. What is the initial value? 3. What is the rate of increase (the multiplier)? 4 b) Write the exponential model (equation) to show the number of zombies A after any given number of hours t. c) How many people would have been turned into a zombie 24 hours after the initial outbreak? SHOW WORK! Do not give answers in scientific notation. d) Would you still be among the living (the world's population is approximately 7 billion people)?

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