Question

In the week that ended on January 4, there were 24 cases of flu reported in a city’s hospital. In the 5 weeks that followed, the number of new cases reported each week had grown exponentially and can be modeled by this graph.

Answer 1

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 × $e^{kt}$     [Differentiate with 't']

T = 24 + c × $e^{kt}$

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.

Learn more about the exponential rate of change here:

brainly.com/question/11845213

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