Question

Help with Logistic Growth functions

Answer 1

On a high school campus of 1,500 students, one student spreads a rumor about a high school prank. The total number of students on the campus that hear the rumor after t hours is modeled by
R(t)=1500/1+49e^−0.23t
According to this model, estimate how many hours it will take for half of the school to hear the rumor.

Answer 2

a. 19 b.20 c.18 d.17

Answer 3

Half the school population = \(\dfrac{1500}{2}=750\).

Find the \(t\) that gives
\[750=\frac{1500}{1+49e^{-.023t}}\]

Answer 4

what would be do to get the exponent then?

Answer 5

First get this part of the equation on one side of the equation. \[e ^{-.023t}\]