During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by . How many children were stricken by the flu after the first day? How many children had the flu after 10 days? How many children eventually contracted the disease?
A) 13 children were stricken by the flu after the first day; 1,264 children had the flu after 10 days; 883 children eventually contracted the disease
B) 10 children were stricken by the flu after the first day; 1,264 children had the flu after 10 days; 1,200 children eventually contracted the disease
C) 13 children were stricken by the flu after the first day; 1,125 children had the flu after 10 days; 1,200 children eventually contracted the disease
D) 15 children were stricken by the flu after the first day; 1,125 children had the flu after 10 days; 1,354 children eventually contracted the disease

Question

During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by  . How many children were stricken by the flu after the first day? How many children had the flu after 10 days? How many children eventually contracted the disease?
A) 13 children were stricken by the flu after the first day; 1,264 children had the flu after 10 days; 883 children eventually contracted the disease 
B) 10 children were stricken by the flu after the first day; 1,264 children had the flu after 10 days; 1,200 children eventually contracted the disease 
C) 13 children were stricken by the flu after the first day; 1,125 children had the flu after 10 days; 1,200 children eventually contracted the disease 
D) 15 children were stricken by the flu after the first day; 1,125 children had the flu after 10 days; 1,354 children eventually contracted the disease

Quizplus · Accepted Answer

To find the number of children who were stricken by the flu after the first day, we can substitute t=1 in the given expression:
11e^(0.05*1)*(1- e^(-0.05*1)) = 13 (rounded to the nearest whole number)

To find the number of children who had the flu after 10 days, we can substitute t=10:
11e^(0.05*10)*(1- e^(-0.05*10)) = 1,125 (rounded to the nearest whole number)

To find the number of children who eventually contracted the disease, we need to find the limit of the given expression as t approaches infinity:
lim(t→∞) 11e^(0.05t)*(1- e^(-0.05t)) = 1,200 (rounded to the nearest whole number)

Therefore, the best choice is C.

During a Flu Epidemic, the Number of Children in the Woodbridge