2. 外语
  3. Jacob’s weekly take-home pay is n dollars. Each week he usesdollars for expenses and saves the rest. At those rates, how many we

Jacob’s weekly take-home pay is n dollars. Each week he usesdollars for expenses and saves the rest. At those rates, how many we

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问题 Jacob’s weekly take-home pay is n dollars. Each week he usesdollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
选项
答案B
解析 It may be helpful to consider how you would determine the number of weeks it would take Jacob to save $500 if you knew how much he saved each week. For example, suppose Jacob saved $25 each week. At that rate, it is easy to see that it would take him 500 + 25, or 20, weeks to save $500. Using this example, you can see that the number of weeks it will take Jacob to save $500 is equal to 500 divided by the amount he saves each week.
    Now use the information given in the question to determine an algebraic expression representing the amount Jacob saved each week. In the question, you are given that Jacob’s weekly expenses are 4n/5 dollars. Therefore, the amount he saves each week is equal to his weekly take-home pay minus his weekly expenses, ordollars.
    Recall that you had already concluded that the number of weeks it will take Jacob to save $500 is equal to 500 divided by the amount he saves each week. So the number of weeks it will take Jacob to save $500 is . The correct answer is Choice B.
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