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    Question

    A car rental company offers two types of packages:

    Package X and Package Y. Package X charges a base fee of β‚Ή300 per day plus β‚Ή10 per kilometer. Package Y charges β‚Ή500 per day and includes 30 kilometers per day. For how many kilometers does the total cost of Package X equal the total cost of Package Y?
    A 50 km Correct Answer Incorrect Answer
    B 20 km Correct Answer Incorrect Answer
    C 75 km Correct Answer Incorrect Answer
    D 100 km Correct Answer Incorrect Answer

    Solution

    Let the number of kilometers be x. For Package X: Cost = 300 + 10x For Package Y: Cost = 500 + 0 (since the first 30 km are included). To find the break-even point, set the costs equal: 300 + 10x = 500 10x = 200 x = 20 km Answer: b) 20 km

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