Taxi Cost
1. The problem asks us to find which taxi company offers the cheapest total cost for traveling 500 Km.
2. Each taxi company charges a fixed amount plus an additional amount per 25 Km.
3. First, calculate how many 25 Km segments are in 500 Km:
$$\frac{500}{25} = 20$$
4. Now calculate the total cost for each taxi company using the formula:
$$\text{Total Cost} = \text{Fixed Amount} + (\text{Amount per 25 Km} \times 20)$$
5. Calculate for Taxi A:
$$160 + (15 \times 20) = 160 + 300 = 460$$
6. Calculate for Taxi B:
$$210 + (13 \times 20) = 210 + 260 = 470$$
7. Calculate for Taxi C:
$$185 + (14 \times 20) = 185 + 280 = 465$$
8. Calculate for Taxi D:
$$150 + (16 \times 20) = 150 + 320 = 470$$
9. Compare the total costs:
- Taxi A: 460
- Taxi B: 470
- Taxi C: 465
- Taxi D: 470
10. The cheapest offer is from Taxi A with a total cost of 460.
**Final answer:** Taxi A