Chapter 5.3, Problem 106AYU

To determine

To find:The number of students who have heard the rumour after $3$ days.

Explanation of Solution

Given: The model for number student who heard the rumour is given by,\

  $N=P\left(1-e^{-0.15d}\right)$

The model for number student who heard the rumor is given by,\

  $N=P\left(1-e^{-0.15d}\right)$

The number of student who heard the rumour after $3$ days is calculated as,

  $\begin{array}{c}N\left(3\right)=1000\left(1-e^{-0.15\left(3\right)}\right)\\ =362.37\\ \approx 362\end{array}$

Therefore, the number of students who have heard the rumour are $362$ .