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A taxi driver charges a flat rate of Php 20.00 and an additional Php 8.00 per kilometer. Write a function to represent the total fare.​ Use a piecewise function

Sagot :

The charge consists of:

1. A flat rate of Php 20.00 for any distance,

2. An additional Php 8.00 per kilometer.

The piecewise function for the total fare ( f(d) can be written as:

[tex] f(d) =

\begin{cases}

20 & \text {if } d = 0 \\

20 + 8d & \text {if } d > 0

\end{cases} [/tex]

Here's the concise representation:

[tex]- \text{\( d = 0 \): The fare is just the flat rate, \( \text{Php } 20.00 \).}[/tex]

[tex]- \text{( d > 0 \): The fare includes the flat rate plus Php 8.00 for each kilometer traveled.}[/tex]

This captures both the initial charge and the distance-dependent fare.