The number of employees of a company, N(t), who have heard a rumor t days after the rumor is started is given by the logistic equation $\mathrm { N } ( \mathrm { t } ) = \frac { 268 } { 1 + 51.6 \mathrm { e } ^ { - 0.25 \mathrm { t } } }$ How many employees have heard the rumor 12 days after it is
Started?
A) 7 employees
B) 60 employees
C) 68 employees
D) 75 employees

Question

Quizplus · Accepted Answer

To find the number of employees who have heard the rumor after 12 days, substitute t = 12 into the logistic equation: $N(12) = \frac{268}{1 + 51.6e^{-0.25 \times 12}}$. Calculating this gives approximately 75 employees.

The Number of Employees of a Company, N(t), Who Have N(t)=2681+51.6e−0.25t\mathrm { N } ( \mathrm { t } ) = \frac { 268 } { 1 + 51.6 \mathrm { e } ^ { - 0.25 \mathrm { t } } }N(t)=1+51.6e−0.25t268​

The Number of Employees of a Company, N(t), Who Have $\mathrm { N } ( \mathrm { t } ) = \frac { 268 } { 1 + 51.6 \mathrm { e } ^ { - 0.25 \mathrm { t } } }$