Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 70°F and 183 chirps per minute at 80°F. (a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N. T = (b) What is the slope of the graph? What does it represent? The slope means that the temperature in Fahrenheit degrees increases as rapidly as the number of cricket chirps per minute. (c) If the crickets are chirping at 110 chirps per minute, estimate the temperature. (Round your answer to the nearest whole number.) oF

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.3: Lines
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Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 70°F and 183 chirps per minute at 80°F.
(a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N.
T =
(b) What is the slope of the graph?
What does it represent?
The slope means that the temperature in Fahrenheit degrees increases
as rapidly as the number of cricket chirps per minute.
(c) If the crickets are chirping at 110 chirps per minute, estimate the temperature. (Round your answer to the nearest whole number.)
°F
Transcribed Image Text:Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 70°F and 183 chirps per minute at 80°F. (a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N. T = (b) What is the slope of the graph? What does it represent? The slope means that the temperature in Fahrenheit degrees increases as rapidly as the number of cricket chirps per minute. (c) If the crickets are chirping at 110 chirps per minute, estimate the temperature. (Round your answer to the nearest whole number.) °F
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