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Biologists have noticed that the chirping rate of crickets of a certain species

ID: 2977380 • Letter: B

Question

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 70degrees F and 173 chirps per minute at 80 degrees 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??? __________slope? 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 140 chirps per minute, estimate the temperature. (Round your answer to the nearest whole number.) ____________Fahrenheit ???

Explanation / Answer

follow this slope: (173-113) / (80-70) = 60 / 10 = 6 y=mx+b : m=6, pick any of the two points for x,y 113=(70)(6)+b 113=420+b b= -307 y=6x-307 however it is not logical if the answer produces less than 0 chirps so.... 0=6x-307 6x=307 x=51and1/6 now let x=T and y=N N=6T-307 N>= 51and 1/6 degrees