Suppose a rumor is going around a group of 191 people. Initially, only 38 members of the group have heard the rumor, but 3 days later 68 people have heard it. Using a logistic growth model, how many people are expected to have heard the rumor after 6 days total have passed since it was initially spread? (Round your answer to the nearest whole person.)

106 people.

Step-by-step explanation:

Logistic equation:

The logistic equation is given by:

In which

K is the carrying capacity, k is the growth/decay rate, t is the time and P_0 is the initial value.

Suppose a rumor is going around a group of 191 people. Initially, only 38 members of the group have heard the rumor.

This means that , so:

Then

3 days later 68 people have heard it.

This means that . We use this to find k.

Then

How many people are expected to have heard the rumor after 6 days total have passed since it was initially spread?

This is P(6). So

Rounding to the nearest whole number, 106 people.

b

step-by-step explanation: