The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from September 2004 through November 2005. CPI Sep 2004–Nov 2005 I(t) 202 200 198 196 194 192 190 - 188 →t 14 4 6. 8 10 12 Sep-04 Jan-05 Nov-05 The approximating curve shown on the figure is given by I(t) = -0.005t3 + 0.12t2 – 0.01t + 190 (0 st s 14), where t is time in months since the start of September 2004. I'(t) (a) Use the model to estimate the monthly inflation rate in June 2005 (t = 9). Recall that the inflation rate is (Round I(t) your answer to three decimal places.) -2.46 X % (b) Was inflation slowing or speeding up in June 2005? O slowing down speeding up (c) When was inflation speeding up? When was inflation slowing? (Use the model to determine this.) Inflation was speeding up prior to September X 2005 and slowing after November V X 2005.

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The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from September 2004 through
November 2005.
CPI Sep 2004–Nov 2005
I(t)
202
200
198
196
194
192
190 +
188
2
4
8.
10
12
14
Sep-04
Jan-05
Nov-05
The approximating curve shown on the figure is given by
I(t) = -0.005t3 + 0.12t2 – 0.01t + 190
(0 st s 14),
where t is time in months since the start of September 2004.
I'(t)
(a) Use the model to estimate the monthly inflation rate in June 2005 (t = 9). Recall that the inflation rate is
I(t)
(Round
your answer to three decimal places.)
-2.46
X %
(b) Was inflation slowing or speeding up in June 2005?
slowing down
O speeding up
(c) When was inflation speeding up? When was inflation slowing? (Use the model to determine this.)
Inflation was speeding up prior to September vx 2005 and slowing after November
VX 2005.
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Transcribed Image Text:The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from September 2004 through November 2005. CPI Sep 2004–Nov 2005 I(t) 202 200 198 196 194 192 190 + 188 2 4 8. 10 12 14 Sep-04 Jan-05 Nov-05 The approximating curve shown on the figure is given by I(t) = -0.005t3 + 0.12t2 – 0.01t + 190 (0 st s 14), where t is time in months since the start of September 2004. I'(t) (a) Use the model to estimate the monthly inflation rate in June 2005 (t = 9). Recall that the inflation rate is I(t) (Round your answer to three decimal places.) -2.46 X % (b) Was inflation slowing or speeding up in June 2005? slowing down O speeding up (c) When was inflation speeding up? When was inflation slowing? (Use the model to determine this.) Inflation was speeding up prior to September vx 2005 and slowing after November VX 2005. Need Help? Read It Watch It
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