Question

The total fare (F) for x kilometers given that Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

Answer 1

Given:

Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

To find:

The total fare (F) for x kilometers.

Solution:

Let x be the number of kilometers and F(x) is total fare.

Number of kilometers cannot be negative. So, x is always greater than 0.

Php 50.00 is paid for the first 10 kilometers.

$f(x)=50.00$ for $0\leq x\leq 10$

The addition of Php 5.00 for every succeeding kilometer.

$f(x)=50.00+5.00(x-10)$ for $x\geq 10$

Therefore, the required function is

$\begin{cases}50.00, & \text{ if } 0\leq x\leq 10\\ 50.00+5.00(x-10), & \text{ if } x\geq 10 \end{cases}$.