Answer
No, the number of internet- connected devices shipped globally is not accurate 20 years from the year 2000.
Work Step by Step
$d\left( t \right)=88{{\left( 1.225 \right)}^{t}}$
The number of internet- connected devices shipped in 2000 is calculated as follows.
Here $t$ is, $2000-2000=0$.
Substitute $t=0$ in the function $d\left( t \right)=88{{\left( 1.225 \right)}^{t}}$.
$\begin{align}
& d\left( 0 \right)=88{{\left( 1.225 \right)}^{0}} \\
& =88\left( 1 \right) \\
& =88
\end{align}$
The number of internet- connected devices shipped in 2010 is calculated as follows.
Here $t$ is $2010-2000=10$.
Substitute $t=10$ in the function $d\left( t \right)=88{{\left( 1.225 \right)}^{t}}$.
$\begin{align}
& d\left( 10 \right)=88{{\left( 1.225 \right)}^{10}} \\
& =88\left( 7.6095 \right) \\
& =669.643 \\
& \approx 670
\end{align}$
The number of internet- connected devices shipped in 2015 is calculated as follows.
Here $t$ is, $2015-2000=15$.
Substitute $t=15$ in the function $d\left( t \right)=88{{\left( 1.225 \right)}^{t}}$.
$\begin{align}
& d\left( 15 \right)=88{{\left( 1.225 \right)}^{15}} \\
& =88\left( 20.99 \right) \\
& =1847.24 \\
& \approx 1847
\end{align}$
The number of internet- connected devices shipped in 2020 is calculated as follows.
$2020-2000=20$
Substitute $t=20$ in the function $d\left( t \right)=88{{\left( 1.225 \right)}^{t}}$.
$\begin{align}
& d\left( 20 \right)=88{{\left( 1.225 \right)}^{20}} \\
& =88\left( 57.9057 \right) \\
& =5095.706 \\
& \approx 5096
\end{align}$
Therefore, the number of internet connected devices is 5096 million.
It is observed from the above solution that the number of internet- connected devices shipped is increasing drastically from 2015 to 2020 which is not realistic.
