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

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 70 degrees fahrenheit and 163 chirps per minute at 80 degrees fahrenheit.

(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 170 chirps, estimate the temperature. (Round your answer to the nearest whole number)

_______ degrees F

Explanation / Answer

a)T=aN+b

70=113a+b

80=163a+b

Solving for a and b gives

a=1/5,b=237/5

Answer is T=N/5+237/5

b)the slope of the graph is 1/5

c) T at 170chirps/minute is 170/5+237/5=81.4 degree farenhit

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