Question

under certain circumstances, a rumor spread according to the equation: p(t) =
$\frac{1}{1 + 15(2.1)^{ - 0.3t} }$
Where p(t) is the proportion of the population that knows the rumor (t) days after the room are started. Find p(4) and p(10) and interpret the results. ​

Answer 1

Given :  under certain circumstances, a rumor spread according to the equation: p(t) =  $\frac{1}{1+15(2.1)^{-0.3t}}$

To Find : p(4) and p(10)

Solution:

t P(t)

0 0.0625

1 0.0769

2 0.0943

3 0.1151

4 0.1397

5 0.1687

6 0.2022

7 0.2405

8 0.2835

9 0.3307

10 0.3817

P(4) = 0.1397  

p(10) = 0.3817

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