Question

In Bloomington, the use of landlines has been declining at a rate of 19% every year. If there are 74,356 landlines this year, how many will there be in 11 years?If necessary, round your answer to the nearest whole number.

Answer 1

Solution

- The rate formula we shall use for this question is given below:

$\begin{gathered} A=P(1-r)^t \\ \text{where,} \\ P=\text{Initial number of landlines} \\ r=\text{decline rate per year} \\ t=\text{ number of years} \end{gathered}$

- The parameters have been given to us and are listed below

$\begin{gathered} P=74356 \\ r=19\text{ \%}=0.19 \\ t=11 \end{gathered}$

- Thus, we can simply proceed to find the Amount (A) of landlines in use in the next 11 years as follows

$\begin{gathered} A=74356(1-0.19)^{11} \\ \\ A=74356(0.81)^{11} \\ \\ \therefore A=7322.3625\ldots\approx7322\text{ (To the nearest whole number)} \end{gathered}$

Final Answer

The answer is

There will be only 7322 landlines in the next 11 years