Answer
A) $N(t) =17\cdot (1.04)^t $
B) The will about 19 million people using the cruise ship in 2015 and about 15 million people that used it in 2009.
Work Step by Step
Data.
\begin{equation}
\begin{aligned}
a&= 17\\
r&= 4\% = 0.04\\
b&=1+r = 1.04\\
\end{aligned}
\end{equation}
A) A model of the number of cruise passenger can be written as:
\begin{equation}
\begin{aligned}
N(t)&=a\cdot b^t\\
&=17\cdot (1.04)^t\\
\end{aligned}
\end{equation}
B)
\begin{equation}
\begin{aligned}
N(2015,t=3)&=17\cdot (1.04)^3\\
&=19
\end{aligned}
\end{equation} \begin{equation}
\begin{aligned}
N(2009,t=-3)&=17\cdot (1.04)^{-3}\\
&=15
\end{aligned}
\end{equation}
The will about 19 million people using the cruise ship in 2015 and about 15 million people that used it in 2009.
