The base jeepney fare is PHP 8.00 for the first four kilometers and an additional PHP 1.50 per kilometers for the succeeding kilometers, express the fare for x kilometers as a function of x.

please help me and kindly put the solution too. thank you :)

If distance is greater then 4km, then

Cost= 8+1.5(distance-4.0)

I don't know po ee !

To help myself

To express the fare for x kilometers as a function of x, we need to consider two cases:

1. For the first four kilometers:
The fare for the first four kilometers is PHP 8.00. Therefore, for x ≤ 4, the fare will always be PHP 8.00.

2. For the succeeding kilometers (x > 4):
For each succeeding kilometer after the initial 4 kilometers, an additional PHP 1.50 is charged. Therefore, the fare for the succeeding kilometers can be calculated as follows:
- Subtract the first four kilometers from the total distance (x - 4)
- Multiply the remaining kilometers by PHP 1.50
- Add the result to the initial fare of PHP 8.00

Combining both cases, the fare for x kilometers as a function of x can be expressed as:

F(x) = 8.00 + 1.50 * (x - 4) for x > 4
F(x) = 8.00 for x ≤ 4

This function will give you the fare in PHP for any given distance in kilometers.

Example:
Let's calculate the fare for 6 kilometers using the function:

F(6) = 8.00 + 1.50 * (6 - 4)
= 8.00 + 1.50 * 2
= 8.00 + 3.00
= PHP 11.00

So, for a distance of 6 kilometers, the fare would be PHP 11.00.