Mathematics: Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict the number of cases that will be reported in 2020 and the trend continues

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Since 2010, when 102390 Cases were reported, each - id20101023905133818, aguerobia

anacecilianr2325

18.01.2022

20,158 cases

Step-by-step explanation:

Let t=0 represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

F(t)=102,390(1-0.15)^t

F(t)=102,390(0.85)^t

To find number of cases in 2020, we will substitute t=10 in our decay function as:

$F(10)=102,390(0.85)^{10}$

F(10)=102,390(0.1968744043407227)

$F(10)=20,157.970260446597\approx 20,158$

Therefore, 20,158 cases will be reported in 2020.

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