章节大纲

  • In This Lesson
    ::在本课程中

    You will practice writing inequalities given a word problem . Then, you will practice solving the equation to solve the problem.
    ::您将用字词问题来写不平等的字。 然后, 您将练习解答等式来解决问题 。

     

    Concert Economics
    ::经济协进会

    A particular music venue pays a band $4000 to perform. They charge $15 for tickets and want to make a profit of at least $1000. At least how many tickets do they need to sell?
    ::一个特定的音乐场地支付乐队4000美元的演出费用。他们收取15美元的票价,并想至少获利1000美元。他们至少要卖多少票?

     

    INTERACTIVE
    Concert Economics
    minimize icon
    • Move the red point to change the number of tickets sold.
      ::移动红点以改变售票数量 。
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    Progress
    0 / 5
    1.

    How can you determine how many tickets need to be sold to break even? Select two.
    ::您如何确定需要售出多少张票才能折价? 选择两张 。

    (Break-even means costs = profit)
    :伤心平衡方式成本=利润)

    Select all that apply
    a

    When @$\begin{align*}15t-4000\end{align*}@$ is equal to 1000.
    ::@$\ begin{ align} 15t- 4000\ end{ align} $ 等于 1000 时 。

    b

    When @$\begin{align*}15t\end{align*}@$ is equal to 4000.
    ::当@$\ begin{ align\\\ 15t\ end{ leign\ $ 等于 4,000 时 。

    c

    When @$\begin{align*}15t-4000\end{align*}@$ is equal to 0.
    ::@$\ begin{ ALIGN} 等於 0 时 。

    d

    When @$\begin{align*}15t\end{align*}@$ is equal to 1000.
    ::当@$\ begin{ align\\\\ 15t\ end{ leign\ $ 等于 1000 时 。

     

    In question #2, when you solved for  t ,  the answer was actually  333. 3 ¯ .  However, you cannot sell a portion of a ticket. In order to make a profit of at least  $1000.00, the venue must sell 334 tickets because 333 tickets would only be a profit of $995.
    ::在问题2中,当您为 t 解决问题时,答案其实是 333.3 。 但是, 您不能卖掉一张票的一部分。 为了获得至少1000.00美元的利润, 会议地点必须卖掉334张票, 因为333张票只赚995美元。

     

    Music & Concessions
    ::音乐和特许

    The venue decides to start selling drinks. They will charge $1.75 for sodas and $1.25 for water bottles. If they sell 300 sodas, how many bottles of water do they need to sell to make at least $800 from drink sales?
    ::当地决定开始销售饮料。 他们将收取1.75美元的苏打水和1.25美元的水瓶。 如果他们出售300苏打水,他们需要卖多少瓶水才能从饮料销售中至少赚到800美元?

     

    INTERACTIVE
    Music & Concessions
    minimize icon
    • Move the blue slider to change the number of soda cans sold.
      ::移动蓝色滑块以改变售出的苏打罐的数量 。
    • Move the red slider to change the number of water bottles sold.
      ::移动红色滑块以改变售出的水瓶数量 。
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    Often, you need to refer to the in order to simplify the inequality or expression . Make sure to keep the variables and constants straight. Only multiply the price of the soda by the quantity of soda in the different scenarios. The same is true for water price and quantity. The answer will always be the total amount of  sales from both drinks.
    ::通常情况下, 您需要引用该选项来简化不平等或表达方式。 请确保变量和常数保持直线。 在不同的情景中, 仅将苏打水的价格乘以苏打水的数量。 水价和水量也一样。 答案始终是两杯饮料的销售总额 。

     

    Max Occupancy
    ::最大占用期

    The maximum occupancy of the venue is 550. As of the beginning of the week, 375 people have bought tickets to the concert. Over the next 5 days, the box office sold the same number of tickets so that the show sold out. How many tickets were sold each day?
    ::到本周初,有375人购买了音乐会的票;在接下来的5天里,票房售出的票数与售出的票数相同,因此演出已经售出。每天售出几张票?

    I n the interactive, u se the numbers  from the word problem  to determine the correct inequality.
    ::在互动中,使用词问题的数字来确定正确的不平等。

     

    INTERACTIVE
    Max Occupancy
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    • Input the correct numbers and inequality sign to as described in the problem above.
      ::输入正确的数字和上面问题所描述的不平等标志。
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    Discussion Question:
    ::讨论问题:

    1. Discuss your strategies for solving inequalities and writing inequalities from a word problem. Share any tips that help you and any mistakes that you have learned from.
      ::讨论解决不平等的策略, 从一个单词问题中写出不平等。 分享帮助您的任何提示以及您学到的任何错误 。
    2. What are the steps that you use to solve an inequality? Review them often so you will be able to recall them as needed.
      ::你用什么步骤来解决不平等问题?你经常审查这些步骤,以便你在需要时能够回忆它们。

       Summary
    ::摘要

    Use inverse operations to solve inequalities, remember to flip the symbol when multiplying/dividing by a negative number.
    ::使用反向操作解决不平等问题, 当乘/ 倾斜负数时记得翻转符号 。

    When interpreting inequalities :
    ::解释不平等时:

    • The symbol <  means less than
      ::符号 < 表示小于
    • The symbol  ≤  means less than
      ::符号 = 表示小于
    • The symbol >  means greater than
      ::符号 > 表示大于
    • The symbol  ≥  means greater than
      ::符号 表示大于