with a computer virus. Each day, the number of OnMonday 20 computers are infecte
ID: 2910824 • Letter: W
Question
with a computer virus. Each day, the number of OnMonday 20 computers are infected infected computers triples. 1. a) Find an exponential imodel for the number of infected computers, y, in terms of t, the days since Monday- b) Predict the number of infected computers in 2 weeks. 2 As of June 1, 2024, 900 people in Liberia were infected with the Ebola virus. At that point in time, the nmber of people infected was increasing by 30% per week. Assume the rate of infection continues at this rate. a) Find an exponential model for the number of people infected, P, in terms of t, the days since June 1, 2014 Predict the number of infected people in 8 weeks. b) 3. The world population was 5.279 billion in 1990 and 6.215 billion in 2002. Assuming the population will grow exponentially Find an exponential model for the number of people (in billions), P, in terms of t, the years since 1990 b) Predict the world population in 2015 A person drinks alcohol at a party. After her last drink, the alcohol level of her blood soon reaches a maximum of 0.28 milligram per milliliter of blood. 50% of the alcohol remained after 2 hours. Assuming the blood level decreases exponentially, a) Find an exponential model for the alcohol level in her blood, L, in terms of the hours, t, since her last drink b) if she waits 3 hours, will her blood alcohol level be below the legal limit of 0.08? 5. fall new pollution in Lake Erle were stopped, the percent of pollution in the water, P, would dec rease by 20% in 6 months. (Hint: what percent of the original pollution is there at tao?) a) Find an exponential model for the percent of polution in the water, P, after t months b) How much pollution will be left after 2 years?Explanation / Answer
1) computers infected on monday = 20
each day the number triples
so we can write the function
y = 20 (3)^t
b) number of infected computer in 2 weeks
plug t = 14
y = 20 ( 3)^14
y = 95659380
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