Over time, according to records kept by the Environmental Protection Agency (found at www.epa.gov), recycling rates have increased from 10% of municipal solid waste generated in 1980 to 16% in 1990, to 29% in 2000, and to 34% in 2009. Meanwhile, disposal of waste to a landfill has decreased from 89% of the amount generated in 1980 to 54.3% of solid waste in 2009. The prediction equation (or least- squares prediction equation) for the percent of solid waste recycled by Americans is y = 0.932x - 1837 where y = percent of solid waste recycled and x is the year. (a) Graph these data (percent recycled vs. year), leaving room at both ends for past and future years. Draw the line given by the prediction equation on your graph also. (b) Is the slope positive or negative? What does the slope tell us about the rate of recycling over the past 30 years? (c) Use the prediction equation to determine the x-intercept. What does this value tell you? Use your graph to help you verify your answer by plotting this point. (d) During what year will recycling theoretically reach 50% according to this model? Plot this point on your graph. (e) Theoretically, will recycling ever reach 100%? Practically speaking, is that really possible?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Now find a single equation that is perpendicular to all of these lines (do not use the
y-axis). Can you graph your equation using the calculator?
Mocels
Lab Exercise 4
Recycling
Over time, according to records kept by the Environmental Protection Agency
(found at www.epa.gov), recycling rates have increased from 10% of municipal
solid waste generated in 1980 to 16% in 1990, to 29% in 2000, and to 34% in 2009.
Meanwhile, disposal of waste to a landfill has decreased from 89% of the amount
generated in 1980 to 54.3% of solid waste in 2009. The prediction equation (or least-
squares prediction equation) for the percent of solid waste recycled by Americans is
y = 0.932x -1837
where y = percent of solid waste recycled and x is the year.
(a) Graph these data (percent recycled vs. year), leaving room at both ends for past
and future years. Draw the line given by the prediction equation on your graph
also.
(b) Is the slope positive or negative? What does the slope tell us about the rate of
recycling over the past 30 years?
(c) Use the prediction equation to determine the x-intercept. What does this value
tell you? Use your graph to help you verify your answer by plotting this point.
(d) During what year will recycling theoretically reach 50% according to this
model? Plot this point on your graph.
(e) Theoretically, will recycling ever reach 100%? Practically speaking, is that really
possible?
Transcribed Image Text:Now find a single equation that is perpendicular to all of these lines (do not use the y-axis). Can you graph your equation using the calculator? Mocels Lab Exercise 4 Recycling Over time, according to records kept by the Environmental Protection Agency (found at www.epa.gov), recycling rates have increased from 10% of municipal solid waste generated in 1980 to 16% in 1990, to 29% in 2000, and to 34% in 2009. Meanwhile, disposal of waste to a landfill has decreased from 89% of the amount generated in 1980 to 54.3% of solid waste in 2009. The prediction equation (or least- squares prediction equation) for the percent of solid waste recycled by Americans is y = 0.932x -1837 where y = percent of solid waste recycled and x is the year. (a) Graph these data (percent recycled vs. year), leaving room at both ends for past and future years. Draw the line given by the prediction equation on your graph also. (b) Is the slope positive or negative? What does the slope tell us about the rate of recycling over the past 30 years? (c) Use the prediction equation to determine the x-intercept. What does this value tell you? Use your graph to help you verify your answer by plotting this point. (d) During what year will recycling theoretically reach 50% according to this model? Plot this point on your graph. (e) Theoretically, will recycling ever reach 100%? Practically speaking, is that really possible?
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