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Sagot :
The answer for this question is to be polite to people and he kind to the students .
Answer:
132 students
Step-by-step explanation:
Let S(t) model the number of students who have not heard the story after t days.
We are told that the rate of change of S is proportional to S:
[tex]\frac{dS}{dt} = kS[/tex]
This sort of differential equation describes an exponential model, and its solution is
[tex]S(t) = C[/tex] * [tex]e^{kt}[/tex]
Let's find the values for C and k.
We are told that there were 900 students who had not heard the story initially. From this we can tell that C=900
We are also told that the number of students is divided by 3 every4 days. From this we can tell that [tex]k= \frac{ln(0.3)}{4}[/tex]
We found that [tex]S(t) = 900e^{\frac{ln(0.3)}{4}t }[/tex], The number of students who have not heard the story after 7 days is S(7):
[tex]S(7) = 900e^{\frac{ln(0.3)}{4}(7) }[/tex] ≈ 132
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