Each week, there are 24+12x more new instances recorded than there was the previous week which is increasing exponentially.
There were 24 cases of flu reported in a city's hospital on January 4.
In the next 5 weeks, the number of new cases reported each week had grown exponentially.
Let "A" represent the number of flu cases at time "t." Any population "A" grows exponentially over time at a rate of "t." The beginning population directly affects the rate of population change.
dA/dt = k( T - 24 )
T- 24 = c × [Differentiate with 't']
T = 24 + c ×
After 1 week T = 36 and t = 1
36 - 24 = c × 1
c = 12
T = 24 + 12x.
Therefore, 24 + 12x new instances have been reported each week, increasing exponentially.
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