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IB MAI HL Functions Topic 2.2 Applications of Functions (id: 31cff3b07)

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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 to68whnwokydf0:(jx c: tal revenue, y, in Australianvwaopp*ot5 yuoa1 .(,ipr zq4e5vf (4 dollars (AUD), obtainedobtained daily during the first week of January 2020, by Peppy's Pizzi4 5 oop(upev1.vzyoa4(,r5p t*qfawa restaurantrestaurant and the number of guests, 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 =ax+b a =    b =  
3.Use the line of the regression to estimate the revenue of serving
70 guests. Give your answer correct to the nearest AUD.
Daily maintenance cost for the restaurant is 240 AUD. Additionally, the cost of serving one guest is 5 AUD. y ≈  
4.Determine if the restaurant makes a profit when serving 45 guests on a particularparticular day.
5.(1)Write down an expression for the total revenue of serving x guests.ax+b a =    b =  
(2)Find an expression for the profit of the restaurant when serving x guests on a particular day.ax+b a =    b =  
(3)Find the least number of guests required to be served to result in a profit for the day. x ≈  




参考答案:
空格1: 0.991±2%空格2: 10.4空格3: -14.3空格4: 714±2%空格5: 10空格6: -14.3空格7: 5.4空格8: -254.3空格9: 47.1±2%


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