5. According to the U.S. Library of Congress (https://www.loc.gov/rr/scitech/mysteries/cricket.html), you can estimate the temperature by listening to the chirping of a cricket. At 70 °F a cricket will chirp 113 times per minute, and at 80 °F a cricket will chirp 173 times per minute. (a) Write a linear function for T(c), the temperature when a cricket makes c chirps per minute. (b) What is the temperature if a cricket chirps 100 time per minute? (c) How many times a minute will a cricket chirp if it is 52 °F? (d) In part 5a you found the slope of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this slope repre- sent? (e) In part 5a you found the vertical intercept of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this vertical intercept represent?
5. According to the U.S. Library of Congress (https://www.loc.gov/rr/scitech/mysteries/cricket.html), you can estimate the temperature by listening to the chirping of a cricket. At 70 °F a cricket will chirp 113 times per minute, and at 80 °F a cricket will chirp 173 times per minute. (a) Write a linear function for T(c), the temperature when a cricket makes c chirps per minute. (b) What is the temperature if a cricket chirps 100 time per minute? (c) How many times a minute will a cricket chirp if it is 52 °F? (d) In part 5a you found the slope of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this slope repre- sent? (e) In part 5a you found the vertical intercept of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this vertical intercept represent?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. According to the U.S. Library of Congress
(https://www.loc.gov/rr/scitech/mysteries/cricket.html), you can estimate the temperature
by listening to the chirping of a cricket. At 70 °F a cricket will chirp 113 times per minute, and at
80 °F a cricket will chirp 173 times per minute.
(a) Write a linear function for T(c), the temperature when a cricket makes c chirps per minute.
(b) What is the temperature if a cricket chirps 100 time per minute?
(c) How many times a minute will a cricket chirp if it is 52 °F?
(d) In part 5a you found the slope of the linear function describing the relationship between the
number of times a cricket chirps per minute and the temperature. What does this slope repre-
sent?
(e) In part 5a you found the vertical intercept of the linear function describing the relationship
between the number of times a cricket chirps per minute and the temperature. What does this
vertical intercept represent?
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