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CalculusApplied Calculus for the Managerial, Life, and Social Sciences: A Brief ApproachSocial Media A Nielsen survey of 3000 American moviegoers aged 12−74 years found that 27% of them used social media to chat about movies in 2010. The percentage was 29% in 2011 and 31% in 2012. Let t = 0, t = 1, and t = 2 correspond to the years 2010, 2011, and 2012, respectively. a. Explain why the three points P 1 (0, 27), P 2 (1, 29), and P 3 (2, 31) lie on a straight line L . b. If the trend continues, what will the percentage of moviegoers who use social media to chat about movies be in 2014? c. Find an equation of L . Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey.BuyFind*arrow_forward*

10th Edition

Soo T. Tan

Publisher: Brooks Cole

ISBN: 9781285464640

Chapter 1.4, Problem 82E

Textbook Problem

**Social Media** A Nielsen survey of 3000 American moviegoers aged 12−74 years found that 27% of them used social media to chat about movies in 2010. The percentage was 29% in 2011 and 31% in 2012. Let *t* = 0, *t* = 1, and *t* = 2 correspond to the years 2010, 2011, and 2012, respectively.

**a.**Explain why the three points*P*_{1}(0, 27),*P*_{2}(1, 29), and*P*_{3}(2, 31) lie on a straight line*L*.**b.**If the trend continues, what will the percentage of moviegoers who use social media to chat about movies be in 2014?**c.**Find an equation of*L*. Then use this equation to find and reconcile the result obtained in part (b).

*Source:* Nielsen survey.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

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Ch. 1.1 - (3, 6)Ch. 1.1 - (2, 5]Ch. 1.1 - [1, 4)Ch. 1.1 - [65,-12]Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - 272/3Ch. 1.1 - 84/3Ch. 1.1 - (13)0Ch. 1.1 - (71/2)4

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Meeting Profit Goals A manufacturer of a certain...Ch. 1.2 - Concentration of a Drug in the Bloodstream The...Ch. 1.2 - Cost of Removing Toxic Pollutants A citys main...Ch. 1.2 - Average Speed of a Vehicle The average speed of a...Ch. 1.2 - Air Pollution Nitrogen dioxide is a brown gas that...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.3 - What can you say about the signs of a and b if the...Ch. 1.3 - Refer to the following figure. a. 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A furniture...Ch. 1.3 - Optimizing Travel Time Towns A, B, C, and D are...Ch. 1.3 - Minimizing Shipping Costs for a Fleet of Autos...Ch. 1.3 - Cost of Laying Cable In the following diagram, S...Ch. 1.3 - Purchasing an HDTV Antenna Ivan wishes to...Ch. 1.3 - Distance Between Two Cruise Ships Two cruise ships...Ch. 1.3 - Distance Between Two Cargo Ships Ship A leaves...Ch. 1.3 - Watching a Rocket Launch At a distance of 4000 ft...Ch. 1.3 - a. Show that the midpoint of the line segment...Ch. 1.3 - A Scavenger Hunt A tree is located 20 yd to the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - The circle with equation kx2 + ky2 = a2 lies...Ch. 1.3 - Let (x1, y1) and (x2, y2) be two points lying in...Ch. 1.3 - Show that an equation of a circle can be written...Ch. 1.4 - What is the slope of a nonvertical line? What can...Ch. 1.4 - Give (a) the point-slope form, (b) the...Ch. 1.4 - Let L1 have slope m1 and L2 have slope m2. State...Ch. 1.4 - Suppose a line L has equation Ax + By + C = 0. a....Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - 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In Exercises 68 and 69, determine whether the...Ch. 1.4 - In Exercises 68 and 69, determine whether the...Ch. 1.4 - John claims that the following points lie on a...Ch. 1.4 - Alison claims that the following points lie on a...Ch. 1.4 - TEMPERATURE Conversion The relationship between...Ch. 1.4 - NUCLEAR Plant UTILIZATION The United States is not...Ch. 1.4 - SOCIAL SECURITY CONTRIBUTIONS For wages less than...Ch. 1.4 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.4 - WEIGHT of Whales The equation W = 3.51L 192,...Ch. 1.4 - THE NARROWING Gender Gap Since the founding of the...Ch. 1.4 - DECLINING NUMBER of pay PHONES As cell phones...Ch. 1.4 - SPENDING on Equipment and Software As the United...Ch. 1.4 - SALES Growth Metro Department Stores annual sales...Ch. 1.4 - Corporate Fraud The number of corporate fraud...Ch. 1.4 - Social Media A Nielsen survey of 3000 American...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - 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A point in the plane can be...Ch. 1 - Fill in the blanks. 2. a. The point P(a, 0) lies...Ch. 1 - Fill in the blanks. 3.The distance between two...Ch. 1 - Fill in the blanks. 4. An equation of the circle...Ch. 1 - Fill in the blanks. 5. a. If P1(x1, y1) and P2(x2,...Ch. 1 - Fill in the blanks. 6. If L1 and L2 are...Ch. 1 - Fill in the blanks. 7. a. An equation of the line...Ch. 1 - Fill in the blanks. 8. a. The general form of an...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14. find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 58. evaluate the expression. 5. |5 +...Ch. 1 - In Exercises 58, evaluate the expression. 6....Ch. 1 - In Exercises 58, evaluate the expression. 7. |2 ...Ch. 1 - In Exercises 58, evaluate the expression. 8....Ch. 1 - In Exercises 914, evaluate the expression. 9....Ch. 1 - In Exercises 914, evaluate the expression. 10....Ch. 1 - In Exercises 914, evaluate the expression. 11. (3 ...Ch. 1 - In Exercises 914, evaluate the expression. 12....Ch. 1 - In Exercises 914, evaluate the expression. 13....Ch. 1 - In Exercises 914, evaluate the expression. 14....Ch. 1 - In Exercises 1520, simplify the expression. 15....Ch. 1 - In Exercises 1520, simplify the expression. 16....Ch. 1 - In Exercises 1520, simplify the expression. 17....Ch. 1 - In Exercises 1520, simplify the expression. 18....Ch. 1 - In Exercises 1520, simplify the expression. 19....Ch. 1 - In Exercises 1520, simplify the expression. 20....Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - |2x 3| 5Ch. 1 - x+1x1=5Ch. 1 - x2 2x 5 = 0Ch. 1 - 2x2 + 8x + 7 = 0Ch. 1 - (t+6)(60)(60t+180)(t+6)2Ch. 1 - 6x2(3x2+2)+14(x+2)Ch. 1 - 23(4x2x21)+3(33x1)Ch. 1 - 2xx+1+4x+1Ch. 1 - Rationalize the numerator: x1x1.Ch. 1 - Rationalize the denominator: x12x.Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Does the point P (1, 54) lie on the line 6x 8y ...Ch. 1 - Given that the point P(2, 4) lies on the line 2x +...Ch. 1 - Sketch the graph of the equation 3x 4y =24.Ch. 1 - Sketch the graph of the line that passes through...Ch. 1 - Find the minimum cost C (in dollars) given that...Ch. 1 - Find the maximum revenue R (in dollars) given that...Ch. 1 - A FALLING Stone A stone is thrown straight up from...Ch. 1 - Year 2009 2010 2011 Sales, y 887 1028 1251...Ch. 1 - Sales or Navigation Systems The estimated number...Ch. 1 - Evaluate: a. 2332 b. [(13)3]1/3Ch. 1 - Simplify: a. 64x639y2x6;x0 b. (a3b4)2(ba)3Ch. 1 - Rationalize the denominator: a. 2x3y b. xx4Ch. 1 - Perform each operation and simplify: a....Ch. 1 - Rationalize the numerator: x+yxyCh. 1 - Factor completely: a. 12x3 10x2 12x b. 2bx 2by +...Ch. 1 - Solve each equation: a. 12x2 9x 3 = 0 b. 3x2 5x...Ch. 1 - Find the distance between (2, 4) and (6, 8).Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that has slope 13 and...

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