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59. Spread of disease On a college campus of 10,000 stu- dents, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by 10,000 y = 1 + 9999e-0.99t where y is the total number infected at time t (in days). (a) How many are infected after 4 days? (b) The school will shut down if 50% of the students are ill. During what day will it close?

59. Spread of disease On a college campus of 10,000 stu- dents, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by 10,000 y = 1 + 9999e-0.99t where y is the total number infected at time t (in days). (a) How many are infected after 4 days? (b) The school will shut down if 50% of the students are ill. During what day will it close?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Functions certain y 58. Population growth Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by oplied y = 2500- 2490e 0.1t (a) Find the population when the otters were reintro- duced (at t = 0). (b) How long will it be before the otter population numbers 1500? or a prod- nded? 59. Spread of disease On a college campus of 10,000 stu- dents, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by 10,000 y 3= 1 + 9999e-0.99t that the where y is the total number infected at time t (in days). (a) How many are infected after 4 days? (b) The school will shut down if 50% of the students by се are ill. During what day will it close? 60. Spread of a rumor The number of people N(t) in a community who are reached by a particular rumor at time t is given by the equation 50,500 N(t) I + 100e¬0.7t (a) Find N(0). (b) What is the upper limit on the number of people affected? (c) How long before 75% of the upper limit is reached? 61. Market share Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by y = 40 40-0.05t
Transcribed Image Text:Functions certain y 58. Population growth Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by oplied y = 2500- 2490e 0.1t (a) Find the population when the otters were reintro- duced (at t = 0). (b) How long will it be before the otter population numbers 1500? or a prod- nded? 59. Spread of disease On a college campus of 10,000 stu- dents, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by 10,000 y 3= 1 + 9999e-0.99t that the where y is the total number infected at time t (in days). (a) How many are infected after 4 days? (b) The school will shut down if 50% of the students by се are ill. During what day will it close? 60. Spread of a rumor The number of people N(t) in a community who are reached by a particular rumor at time t is given by the equation 50,500 N(t) I + 100e¬0.7t (a) Find N(0). (b) What is the upper limit on the number of people affected? (c) How long before 75% of the upper limit is reached? 61. Market share Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by y = 40 40-0.05t
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