A taxi ride cost P50.00 for the for 600 meters and each additional m meter (or a fraction theoreof) ads p 0.50 to use the fare. Use a piecewise function to signify the taxi fare in terms of the distance

1.What is the independent variable?

2. What is the dependent variable?
3. Write the function. F(__)={

f(x) =

{50.00 for 0 ≤x≤600
{50.00 + 0.50⌈x-600⌉ for x > 600

To represent the taxi fare in terms of the distance using a piecewise function, we can define two separate cases:

Case 1: When the distance is less than or equal to 600 meters
In this case, the fare is a fixed amount of P50.00, regardless of the actual distance. Let's denote the distance as 'd'. The piecewise function for this case can be written as:

f(d) = 50.00, where d ≤ 600

Case 2: When the distance is greater than 600 meters
In this case, the fare consists of a fixed amount of P50.00 for the first 600 meters, and then an additional charge of P0.50 for each meter (or fraction thereof) beyond the initial 600 meters. We can represent this using the formula:

f(d) = 50.00 + 0.50 * (d - 600), where d > 600

Combining both cases, the piecewise function for the taxi fare can be written as:

f(d) = 50.00, where d ≤ 600
f(d) = 50.00 + 0.50 * (d - 600), where d > 600

Please note that 'd' represents the distance in meters.

To represent the taxi fare in terms of the distance using a piecewise function, we need to consider two scenarios:

1. For the first 600 meters: The fare is a fixed amount of P50.00.
2. For each additional meter (m) beyond 600 meters: The fare increases by P0.50 per meter.

Let's define the piecewise function:

Let d represent the distance traveled (in meters).

```
/ 50.00 if d <= 600
F(d) = |
\ 50.00 + 0.50(d - 600) if d > 600
```

In the piecewise function:
- If the distance (d) is less than or equal to 600 meters, the fare will be P50.00.
- If the distance (d) is greater than 600 meters, the fare will be calculated as P50.00 plus an additional P0.50 for each meter beyond 600.

For example:
- If the distance is 800 meters, the fare will be 50.00 + 0.50(800 - 600) = 50.00 + 0.50 * 200 = 50.00 + 100.00 = P150.00.
- If the distance is 400 meters, the fare will be P50.00.

By using this piecewise function, we can determine the taxi fare based on the distance traveled.