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)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
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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 zombified1 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?
2
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)?
Transcribed Image Text: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 zombified1 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? 2 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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