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 out how many children were stricken by the flu after the first day, we need to substitute t=1 in the given equation:

11e^(1/2) = 13. Therefore, 13 children were stricken by the flu after the first day.

To find out how many children had the flu after 10 days, we need to substitute t=10 in the given equation:

11e^(5) ≈ 1125. Therefore, 1,125 children had the flu after 10 days.

To find out how many children eventually contracted the disease, we need to take the limit of the given equation as t approaches infinity:

lim (t→∞) 11e^(t/2) = ∞. Therefore, an infinite number of children could eventually contract the disease. However, we can estimate the total number of children affected by looking at the trend in the number of children who have the flu over time. From the given equation, we can see that the number of children who have the flu increases rapidly initially, but then levels off over time. Therefore, we can estimate that the total number of children who eventually contract the disease is around 1,200, which is the closest answer choice.

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