Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function y = 0.0682x² +1.76x + 96.0 where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and servic (a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050. 2050 corresponds to an x value of , which corresponds to a y value of The y maximum should be (b) Graph the function.. y 300 250 200 150 100 O 50 0¹ 0 y 300 250 200 150 10 20 30 X 40 y 300 250 200 150 100 @O 50 0 0 10 20 30 40 y 300 250 200 150 100 50 0 0 10 12 are expected to cost $120 in that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function
y = 0.0682x² + 1.76x + 96.0
where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year
(a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050.
2050 corresponds to an x value of
which corresponds to a y value of
The y maximum should be -Select-than this function value
(b) Graph the function.
y
300
250
200
150
100
50
0
y
300
250
200
150
100
50
X =
Need Help?
51 F
Partly sunny
10
10
20
Read It
20
30
30
T
X
40
40
y
300
250
200
150
100
50
0
0
10
(c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.)
years
20
30
Q Search
40
y
300
250
200
150
100
50
0
10
hp
20
DEST=
30
Transcribed Image Text:Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function y = 0.0682x² + 1.76x + 96.0 where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year (a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050. 2050 corresponds to an x value of which corresponds to a y value of The y maximum should be -Select-than this function value (b) Graph the function. y 300 250 200 150 100 50 0 y 300 250 200 150 100 50 X = Need Help? 51 F Partly sunny 10 10 20 Read It 20 30 30 T X 40 40 y 300 250 200 150 100 50 0 0 10 (c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.) years 20 30 Q Search 40 y 300 250 200 150 100 50 0 10 hp 20 DEST= 30
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