A rumor spreads through a school. Let y(t) be the fraction of the population that hasheard the rumor at time t and assume that the rate at which the rumor spreads isproportional to the product of the fraction y of the population that has heard therumor and the fraction 1 – y that has not yet heard the rumor.|The school has 2000 students in total. At 7 a.m., 100 students have heard the rumor,and by noon, half the school has heard it. Determine at what time 80% of thestudents will have heard the rumor.

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A rumor spreads through a school. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the y that has not yet heard the rumor. rumor and the fraction 1 The school has 2000 students in total. At 7 a.m., 100 students have heard the rumor, and by noon, half the school has heard it. Determine at what time 80% of the students will have heard the rumor.

A rumor spreads through a school. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the y that has not yet heard the rumor. rumor and the fraction 1 The school has 2000 students in total. At 7 a.m., 100 students have heard the rumor, and by noon, half the school has heard it. Determine at what time 80% of the students will have heard the rumor.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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