Finite Mathematics (11th Edition)
Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 1.1, Problem 65E

Consumer Price Index The Consumer Price Index (CPI) is a measure of the change in the cost of goods over time. The index was 100 for the three-year period centered on 1983. For simplicity, we will assume that the CPI was exactly 100 in 1983. Then the CPI of 229.6 in 2012 indicates that an item that cost $1.00 in 1983 would cost $2.30 in 2012. The CPI has been increasing approximately linearly over the last few decades.

Source: The World Almanac and Book of Facts 2014.

(a) Use this information to determine an equation for the CPI in terms of t, which represents the years since 1980.

(b) Based on the answer to part (a), what was the predicted value of the CPI in 2000? Compare this estimate with the actual CPI of 172.2.

(c) Describe the rate at which the annual CPI is changing.

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Chapter 1 Solutions

Finite Mathematics (11th Edition)

Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. A line perpendicular...Ch. 1.1 - In Exercises 24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 17ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 19ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - In Exercises 15- find an equation in...Ch. 1.1 - In Exercises 34, find an equation for each line in...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Do the points (4,3), (2,0), and (-18,-12) lie on...Ch. 1.1 - Find k so that the line through (4, -1) and (k, 2)...Ch. 1.1 - Prob. 37ECh. 1.1 - Use slopes to show that the square with vertices...Ch. 1.1 - For the lines in Exercises and 40, which of the...Ch. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - In Exercises 41 and estimate the slope of the...Ch. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Graph each equation. 2x - 3y = 12Ch. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Graph each equation. y +8 = 0Ch. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Graph each equation. 3x - 5y = 0Ch. 1.1 - Business and Economics Sales The sales of a small...Ch. 1.1 - Cost The total cost for a bakery to produce 100...Ch. 1.1 - Tuition The table lists the annual cost (in...Ch. 1.1 - Use of Cellular Telephones The following table...Ch. 1.1 - Consumer Price Index The Consumer Price Index...Ch. 1.1 - Life Sciences HIV Infection The time interval...Ch. 1.1 - Exercise Heart Rate To achieve the maximum benefit...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Social Sciences Child Mortality Rate The mortality...Ch. 1.1 - Immigration In 1950, there were 249.187 immigrants...Ch. 1.1 - Marriage The following Table lists the U.S. median...Ch. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - /em>x and g(x)...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 8ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 10ECh. 1.2 - In Exercises 14, decide whether the statement is...Ch. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Business and Economics Supply and Demand Suppose...Ch. 1.2 - Prob. 28ECh. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Break-Even Analysis To produce x units of a...Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Temperature Find the temperature at which the...Ch. 1.2 - General Interest Education Cost A recent budget...Ch. 1.3 - Suppose a positive linear correlation is found...Ch. 1.3 - Given a set of points, the least squares line...Ch. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Business and Economics Consumer Durable Goods The...Ch. 1.3 - Prob. 11ECh. 1.3 - Internet The percent of households with Internet...Ch. 1.3 - Landlines The percent of U.S. households with...Ch. 1.3 - Consumer Credit The total amount of consumer...Ch. 1.3 - Prob. 15ECh. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Social Sciences Pupil-Teacher Ratios The following...Ch. 1.3 - Prob. 21ECh. 1.3 - Ideal Partner Height In an introductory statistics...Ch. 1.3 - Prob. 23ECh. 1.3 - Physical Sciences Length of a Pendulum Grandfather...Ch. 1.3 - Prob. 25ECh. 1.3 - General Interest Football The following data give...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - Prob. 6EACh. 1 - Now look at the residuals as a fresh data set, and...Ch. 1 - Prob. 8EACh. 1 - Prob. 9EACh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - PRACTICE AND EXPLORATIONS What is marginal cost?...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Supply and Demand A company is manufacturing a new...Ch. 1 - Prob. 50RECh. 1 - Cost In Exercises 50-53, find a linear cost...Ch. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Social Security The average monthly Social...Ch. 1 - Meat Consumption The U.S. per capita consumption...Ch. 1 - Prob. 60RECh. 1 - Blood Sugar and Cholesterol Levels The following...Ch. 1 - Prob. 62RECh. 1 - Poverty The following table gives the number (in...Ch. 1 - Prob. 64RECh. 1 - Prob. 65RE
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