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.