A new dot.com business began with an initial stock offering of $4,000. At the end of the first year, the management conducted a complete top to bottom audit of the company's profits. The audit revealed that the company profit follows the graph of the function P (t) = t³ – t² +t+4, in thousands of dollars where t is months. During what month did the profit change at the same rate as the average rate of change of the profit during the first six months?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A new dot.com business began with an initial stock offering of
$4,000. At the end of the first year, the management conducted a
complete top to bottom audit of the company's profits. The audit
revealed that the company profit follows the graph of the function
P(t) = t3 – t² +t+4, in thousands of dollars where t
is months.
During what month did the profit change at the same rate as the
average rate of change of the profit during the first six months?
Note: Convert the month to its corresponding number when
answering (e.g. 1 for January, 2 for February, and so on). Round your
answer up to the nearest whole number.
Transcribed Image Text:A new dot.com business began with an initial stock offering of $4,000. At the end of the first year, the management conducted a complete top to bottom audit of the company's profits. The audit revealed that the company profit follows the graph of the function P(t) = t3 – t² +t+4, in thousands of dollars where t is months. During what month did the profit change at the same rate as the average rate of change of the profit during the first six months? Note: Convert the month to its corresponding number when answering (e.g. 1 for January, 2 for February, and so on). Round your answer up to the nearest whole number.
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