Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the Philippines), the population of COVID patients for the country will be P(t) thousand people where P(t) = Ae0.03t – Be0.005t for certain constants A and B. The population of COVID cases for March is 1,546 and 78,000 after four months. a. Use the given information to find A and B b. What was the population for May? c. What will the population of COVID cases in November?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Suppose that it is estimated that t months after January 30, 2020 (first
COVID-19 case in the Philippines), the population of COVID patients for
the country will be P(t) thousand people where
P(t) = Ae0.03t – Be0.005t
for certain constants A and B. The population of COVID cases for
March is 1,546 and 78,000 after four months.
a. Use the given information to find A and B
b. What was the population for May?
c. What will the population of COVID cases in November?
Transcribed Image Text:Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the Philippines), the population of COVID patients for the country will be P(t) thousand people where P(t) = Ae0.03t – Be0.005t for certain constants A and B. The population of COVID cases for March is 1,546 and 78,000 after four months. a. Use the given information to find A and B b. What was the population for May? c. What will the population of COVID cases in November?
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