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IB MAI HL Functions Topic 2.2 Applications of Functions (id: cc4996f23)

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admin 发表于 2024-2-7 23:49:42 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions,类别为 IB数学

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The following table shows the a5n t;(v2r zh 1pjzsbc1:yt*x totalk+ ppwxlj(p en5q)(o:*v: eoy revenue, y, in US dollars (USD), obtainedobtained monthly during the first six months of 2020, by Law Office of Fox Br*ex: v(ln: 5pw(pojey+ o p)qkothers and the number of clients, x, served.

1.(1)Calculate the Pearson's product-moment correlation coefficient, r, for this data. r =  
(2)Hence comment on the result.
2.Write down the equation of the regression line y on x. y =  
3.Use the line of the regression to estimate the revenue of serving
20 clients. Give your answer correct to the nearest USD.
Monthly operating cost for the law office is 2500 dollars. Additionally, the cost of serving each client is 200 dollars. y =ax+b a =    b =  
4.Determine if the law office makes a profit when serving 66 clients on a particularparticular month.
5.(1)Write down an expression for the total revenue of serving x clients. y =ax+b a =    b =  
(2)Find an expression for the profit of the law office when serving x clients on a particular month. y =ax+b a =    b =  
(3)Find the least number of clients required to be served to result in a profit for the month.




参考答案:
空格1: 0.995±2%空格2: 654空格3: -541空格4: 12539±2%空格5: 654空格6: -541空格7: 454空格8: -3041


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