The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. CPI Dec 2006-July 2007 209 208 207 206 205 204 203 202 201 1 3 4 Dec-06 July-07 The approximating curve shown on the figure is given by I(t) = -0.04: + 0.4 + 0.1t + 202 (0 sts 7) where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in June 2007 (t = 6). Recall that the inflation rate is I'(t) (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in June 2007? O slowing down O speeding uP (c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.] Inflation was speeding up prior to one third of the way through -Select-- v 2007 and slowing down after that.
The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. CPI Dec 2006-July 2007 209 208 207 206 205 204 203 202 201 1 3 4 Dec-06 July-07 The approximating curve shown on the figure is given by I(t) = -0.04: + 0.4 + 0.1t + 202 (0 sts 7) where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in June 2007 (t = 6). Recall that the inflation rate is I'(t) (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in June 2007? O slowing down O speeding uP (c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.] Inflation was speeding up prior to one third of the way through -Select-- v 2007 and slowing down after that.
Algebra & Trigonometry with Analytic Geometry
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
![The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July
2007.
CPI Dec 2006-July 2007
209
208
207
206
205
204
203
202
201
1
3
4
Dec-06
July-07
The approximating curve shown on the figure is given by
I(t) = -0.04: + 0.4 + 0.1t + 202 (0 sts 7)
where t is time in months since the start of December 2006.
(a) Use the model to estimate the monthly inflation rate in June 2007 (t = 6). Recall that the inflation rate is
I'(t)
(Round your
answer to three decimal places.)
(b) Was inflation slowing or speeding up in June 2007?
O slowing down
O speeding uP
(c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.]
Inflation was speeding up prior to one third of the way through -Select-- v 2007 and slowing down after that.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf9c773-7147-449f-98b7-b7b0cfa3e826%2F4e183da1-7054-4f83-ac41-4c6167f94370%2Fcn26r.png&w=3840&q=75)
Transcribed Image Text:The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July
2007.
CPI Dec 2006-July 2007
209
208
207
206
205
204
203
202
201
1
3
4
Dec-06
July-07
The approximating curve shown on the figure is given by
I(t) = -0.04: + 0.4 + 0.1t + 202 (0 sts 7)
where t is time in months since the start of December 2006.
(a) Use the model to estimate the monthly inflation rate in June 2007 (t = 6). Recall that the inflation rate is
I'(t)
(Round your
answer to three decimal places.)
(b) Was inflation slowing or speeding up in June 2007?
O slowing down
O speeding uP
(c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.]
Inflation was speeding up prior to one third of the way through -Select-- v 2007 and slowing down after that.
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