12. A Bald Eagle Murder Mystery At 3:00 P.M., a park ranger discovered a dead bald eagle that had been impaled by an arrow. Only two archers were found in the region. The first archer is able to establish that between 11:00 A.M. and 1:00 P.M., he was in a nearby diner having lunch. The second archer can show that he was in camp with friends between 9:00 A.M. and 11:00 A.M. The air temperature in the park has remained at a constant 62 degrees. Begin- ning at 3:00 P.M., the difference D the temperature of the dead eagle and that of the air was measured and recorded in the following table. (Here t is the time in hours since 3:00 P.M.) D(t) between t = hours since 3:00 P.M. D = temperature difference 26.83 1 24.42 2 22.22 3 20.22 4 18.40 5 16.74 This table, together with the fact that the body temperature of a living bald eagle is 105 degrees, exonerates one of the archers, but the other may remain a suspect. Which archer's innocence is established?

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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12. A Bald Eagle Murder Mystery At 3:00 P.M., a park
ranger discovered a dead bald eagle that had been
impaled by an arrow. Only two archers were found
in the region. The first archer is able to establish
that between 11:00 A.M. and 1:00 P.M., he was in a
nearby diner having lunch. The second archer can
show that he was in camp with friends between
9:00 A.M. and 11:00 A.M. The air temperature in the
park has remained at a constant 62 degrees. Begin-
ning at 3:00 P.M., the difference D = D(t) between
the temperature of the dead eagle and that of the air
was measured and recorded in the following table.
(Here t is the time in hours since 3:00 P.M.)
t = hours
since 3:00 Р.М.
D = temperature
difference
26.83
1
24.42
2
22.22
3
20.22
4
18.40
16.74
This table, together with the fact that the body
temperature of a living bald eagle is 105 degrees,
exonerates one of the archers, but the other may
remain a suspect. Which archer's innocence is
established?
Transcribed Image Text:12. A Bald Eagle Murder Mystery At 3:00 P.M., a park ranger discovered a dead bald eagle that had been impaled by an arrow. Only two archers were found in the region. The first archer is able to establish that between 11:00 A.M. and 1:00 P.M., he was in a nearby diner having lunch. The second archer can show that he was in camp with friends between 9:00 A.M. and 11:00 A.M. The air temperature in the park has remained at a constant 62 degrees. Begin- ning at 3:00 P.M., the difference D = D(t) between the temperature of the dead eagle and that of the air was measured and recorded in the following table. (Here t is the time in hours since 3:00 P.M.) t = hours since 3:00 Р.М. D = temperature difference 26.83 1 24.42 2 22.22 3 20.22 4 18.40 16.74 This table, together with the fact that the body temperature of a living bald eagle is 105 degrees, exonerates one of the archers, but the other may remain a suspect. Which archer's innocence is established?
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