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Comparing Price Reductions of Two Cars in an Internet Auction

In this scenario, two identical cars are priced at £10,000 each, with different weekly price reduction strategies. The first car experiences a 10% decrease each week, while the second car is reduced by £800 weekly. The task is to determine after how many weeks the second car will be cheaper than the first, showing all calculations. The working needs to show multiple values for both cars to confirm the analysis. Accuracy in calculations will be assessed based on the number of correctly computed price values for comparison, leading to the final conclusion.

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Comparing Price Reductions of Two Cars in an Internet Auction

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  1. Functional Question Higher (Statistics 10) For the week beginning ….

  2. An internet auction site has two identical cars for sale.Both cars are priced at £10 000.The price of each car is to be reduced each week until they are sold.The first car is reduced by 10% each week.The second car is reduced by £800 each week.Assuming that no-one buys the cars, after how many weeks will the second car be cheaper than the first? You must show all your working. (Total 4 marks)

  3. Car A 10% decrease for at least 2 values M1 – method mark           9000, 8100, 7290, 6561, 5904.90, 5314.41 Allow rounding to nearest £ (£5905, £5315) Must be accurate for as many values as needed to compare providing at least 3 shown. A1 - Accuracy marks are awarded when following on from a correct method          Car B 9200, 8400, 7600, 6800, 6000, 5200 B1 for 9200 etc... for as many correct values as needed to make a comparison providing at least 3 (9200, 8400, 7600,.. ) are shown. B1 - Marks awarded independent of method        6 weeks Accept between 5 and 6 weeks. Last B1 ft providing M1 awarded and B1 awarded. B1 Marks awarded independent of method [4]

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