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

Answer: the answer would be c

Step-by-step explanation:

Answer 2

The number of new cases reported of new cases reported each week has grown exponentially is 24+12x.

What is grown exponentially?

"Any population  be 'A' is grown exponentially at a time 't'. The rate of change of population is directly proportional to initial population" is called grown exponentially.

According to the question,

In a city's hospital they were 24 cases of flu reported. In the 5 weeks that followed, the number of new cases reported each week had grown exponentially

Let 'A' be the number of flu cases at time 't'. Any population  be 'A' is grown exponentially at a time 't'. The rate of change of population is directly proportional to initial population

$\frac{dA}{dt}$ = k (T-24)

T- 24 = c .$e^(kt)$     [Differentiate with 't']

T = 24 + c.$e^(kt)$

when after 1 week T= 36 and t = 1

36 -24 = c.1                            [put T =36 and t=1]

c = 12

T = 24 + 12x.

Hence, the number of new cases reported of new cases reported each week has grown exponentially is 24+12x.

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