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SCORPION-xisa [38]
3 years ago
13

During an epidemic, the number of people who have never had the disease and who are not immune (they are susceptible) decreases

exponentially according to the function f(x) = 15000e-^(0.05t) , where t is time in days. Find the number of susceptible people at each time below.
At the beginning of the epidemic

After 14 days

After 21 days

After 5 weeks
Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Solving this problem is just pretty straight forward. All we simply have to do is to plug in the value of t (in days) in the function, solve then we get the number of susceptible people.

 

A. At the beginning of the epidemic
t = 0

f(x) = 15000 e-^(0.05 * 0)

f(x) = 15000

 

B. After 14 days

t= 14

f(x) = 15000 e-^(0.05 * 14)

f(x) = 7,448.78 = 7,449

 

C. After 21 days

t = 21

f(x) = 15000 e-^(0.05 * 21)

f(x) = 5,249

 

D. After 5 weeks

t = 5 * 7 = 35

f(x) = 15000 e-^(0.05 * 35)

f(x) = 2,606.61 = 2607

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