Subjects algebra

Taxi Cost

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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