Given:
A van rental charges 5500 flat rate for a whole-day tour in calabarzon of 5 passenger.
Each additional passenger added 500 to the tour fare.
To find:
The piecewise function to show to represent the van in terms number of passenger n.
Solution:
Let f(n) be the tour fare of n number of passengers.
Number of passengers cannot be negative or faction values. So, n is always greater than or equal to 0 and whole number.
A van rental charges 5500 flat rate for a whole-day tour in calabarzon of 5 passenger.
For [tex]0\leq n\leq 5[/tex],
[tex]f(n)=5500[/tex]
Each additional passenger added 500 to the tour fare.
For [tex]n>5[/tex]
[tex]f(n)=5500+500(n-5)[/tex]
Therefore, the required piecewise function is [tex]f(n)=\begin{cases}5500, & \text{ if } 0\leq n\leq 5\\ 5500+500(n-5), & \text{ if } n>5\end{cases}[/tex].
