Math for Social Sciences I (C)
Math for Social Sciences I (C) MATH 1320
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This 8 page Class Notes was uploaded by Fae Lehner on Thursday October 29, 2015. The Class Notes belongs to MATH 1320 at University of Texas at El Paso taught by Staff in Fall. Since its upload, it has received 79 views. For similar materials see /class/231273/math-1320-university-of-texas-at-el-paso in Mathematics (M) at University of Texas at El Paso.
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Date Created: 10/29/15
Math 1320 N ame Section 11 Functions from an Algebraic Viewpoint 1 s 11 32 The total weekly revenue earned at Royal Ruby Retailers is given by Rp 2 2 p2 80p where p is the price in dollars RRR charges per ruby Use this function to determine a The weekly revenue to the nearest dollar when the price is set at 20ruby b The weekly revenue to the nearest dollar when the price is set at 200ruby interpret your result c The price RRR should charge in order to obtain a weekly revenue of 1200 2 Let fx Finda fx2 b fx2 1 c fx21 x4 3 Suppose fx 4 7 2X 3X 2 Find the following a f0 b f72 c fx h d fgx h 7 fix h 4 s 11 28 Scientific Research The number of research articles in Physics Review that were written by LII researchers in the US from 1983 through 2003 can be approximated by At 001t 2 024t 34 hundred articles where t is time in years since 1983 a Find an appropriate domain of A Is t S 20 an appropriate domain Why or why not b Compute A10 What does the answer say about the number of research articles s 11 40 Dental Plans A company pays for its employees dental coverage at an annual cost C given by Cq 1000 100 where q is the number of employees covered and C11 is the annual cost in a If the company has 100 employees find its annual outlay for dental coverage b Assuming that the government subsidizes coverage by an annual dollar amount of Sq 200g calculate the net cost function Nq to the company and calculate the net cost of subsidizing its 100 employees Comment on your answer Section 12 Functions from a Graphical Viewpoint an s 1 2 3 M14 The gaph ofthefumuon xns gvan Approximam the spenfied values 3 H 3 Mm a 1721 In mm arm 1 1 v 3912 rm m quot aquot 2 Sketchtheyiuewisefumuon Axisx 735x50 Gix 3X1 If 0ltxlt 2 5 If xgt2 Math 1320 Name Section 15 Linear Regression 1 a What is a scatter plot D D b What is a regression line c Give the formulas for m and b s 15 24 Poverty and Unemployment Let x unemployment rate and y poverty rate Use Excel to obtain the regression equation and graph the associated points and regression line Does the graph suggest a relationship between x and y What does the slope tell us about the relationship between the unemployment rate and the poverty rate Note that this table compares unemployment and poverty rates in the US for various years from 1990 to 2003 s 15 20 The following table gives the approximate economic value associated with valious levels of oil recovery in Texas I Percent Recovery I 10 40 50 I80 Economic Value Billions 200 900 1000 2000 Find the regression line and use it to estimate the economic value associated with a recovery level of 70 Using Both Versions of MS Excel in Section 15 We will do this problem from the text using both versions of MS Excel 28 Chapter 1 Review You have tried selling your online novels at a variety of prices with the following results Price 550 10 12 15 Demand Monthly sales 620 350 300 100 a Use the given data to obtain a linear regression model of demand b Use your model to estimate the demand if you charge 8 per book First we ll use the older version of MS Excel In Cell A1 type K PriceBk and then proceed to enter the book prices in order into the A column In Cell B1 type y Sales Demand and then proceed to enter the sales demands in order into the B column You can use the mouse to widen the columns Your worksheet will look like this xPriceBk y Sales Demand 620 10 350 12 300 15 100 Use the mouse to highlight the cells that are filled in Now click on the Chart Wizard the bar graph icon at the top of the toolbar In the Chart Wizard box Step 1 of 4 click onto the Chart Type XY Scatter Then click Next In the Chart Wizard box Step 2 of 4 click Next In the Chart Wizard box Step 3 of 4 Place the cursor in the Chan Title box Create the title Book Price vs Sales Demand Place the cursor in the Value X Axis box You can use the Tab button to do this Label the x axis Price per Book Place the cursor in the Value Y Axis box Label the y axis Monthly Sales Demand Books Click Next In the Chart Wizard box Step 4 of 4 click Finish Your graph will look like this Book Price vs Sales Demand 700 600 500 400 300 200 100 oy Sales Demand Books Monthly Sales Demand 0 5 1O 15 20 Price per Book Dollars Now click onto Chart at the top of the toolbar If you do not see Chart on the toolbar then click anywhere on the graph and Chart will appear Click onto Add Trendline In the Type Tab the first tab the Linear graph should already be outlined If not click onto the Linear graph Click onto the Options Tab the second tab Check the box marked Display Equation on Chart Click OK Use your mouse to move the equation of the regression line Your graph will now look like Book Price vs Sales Demand 700 y 53394x 90982 600 500 400 300 200 100 o y Sales Demand Books Linear y Sales Demand Monthly Sales Demand 0 5 10 15 20 Price per Book Dollars Note that part a is complete y 53394x 90982 books where x is the price per book A To answer part b on your graph click onto the Text Box symbol on the Drawing Toolbar If you do not see the Drawing Toolbar go to View then Toolbars and then click on Drawing Click where you want to start a corner of the text box and then drag until the box is the size you want In the box type the text When you finish typing click anywhere outside of the text box Your graph will now look like Book Price vs Sales Demand y 53394X 90982 0 ySaIes Demand Linear ySales Demand b When the price is 8 per book the sales demand is 0 5 10 1 5 20 53394890982 Price per Book Dollars 483 bOOkS39 Monthly Sales Demand Books Label and print your work Click onto your graph to ensure that only your graph will be labeled and printed Click onto File at the top of the toolbar Then click Page Setup Click the HeaderFooter tab Click onto Custom Header In the Left Section type Math 1320 In the Middle Section type 28 Book Price vs Sales Demand In the Right Section type your name Click OK Click on OK again Then click anywhere on the graph to highlight it Click onto File and then Print Now we ll use MS Excel 2007 to do the same problem In Cell A1 type x PriceBk and then proceed to enter the book prices in order into the A column In Cell B1 type y Sales Demand and then proceed to enter the sales demands in order into the B column You can use the mouse to widen the columns Your worksheet will look like this xPriceBk y Sales Demand 620 10 350 12 300 15 100 Use the mouse to highlight the cells that are filled in Click onto Insert at the top of the toolbar Click onto Scatter in the Charts section Then click onto the first graph of a scatterplot Click onto Layout not Page Layout at the top right of the toolbar Click onto Chart Title and then onto Above Chart Use the mouse to highlight the graph s title change it to Book Price vs Sales Demand Click onto Axis Titles then Primary Horizontal Axis Title and then Title Below Axis Use the mouse to highlight the horizontal axis title change it to Book Price Dollars Click onto Axis Titles then Primary Vertical Axis Title and then Rotated Title Use the mouse to highlight the vertical axis title change it to Monthly Sales Demand Books Click onto Trendline Then click onto More Trendline Options In the Trendline Options box check the Linear graph if it s not already checked Also check the box Display Equation on Chart Then click Close Use the mouse to move the equation of the regression line Your graph will look like this Book Price vs Sales Demand y 53394x 90982 0 ySales Demand Linear y Sales Demand O 5 10 15 20 Monthly Sales Demand Books Book Price Dollars Note that part a is complete y 53394x 90982 books where x is the price per book To answer part b on your graph click onto Insert at the top of the toolbar then onto Text Box Click where you want to start a corner of the text box and then drag until the box is the size you want In the box type the text When you finish typing click anywhere outside of the text box Your graph Will now look like Book Price vs Sales Demand y 53394X 1 90982 0 Seriesl 7 Linear Seriesl When the price is 8 the sales demand is 0 5 10 15 20 53394a 90982 483 books Monthly Sales Demand Books Book Price in Dollars
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