SOLUTION: One of the more familiar late-evening sounds during the summer is the rhythmic chirping of a male cricket. Of particular interest is the snowy tree cricket, sometimes called the te

Question 258246: One of the more familiar late-evening sounds during the summer is the rhythmic chirping of a male cricket. Of particular interest is the snowy tree cricket, sometimes called the temperature cricket. It is very sensitive to temperature, speeding up or slowing down its chirping as the temperature rises or falls. The chart to the right shows how the number of chirps per minute of the snowy tree cricket is related to temperature.
Timely Noise
t, Temperature
(�F) N(t), Number of
Chirps/Minute
55 60
60 80
65 100
70 120
75 140
80 160
Crickets are usually silent when the temperature falls below 55�F. What is a possible practical domain for the snowy tree cricket function?
Determine the average rate of change of the number of chirps per minute with respect to temperature as the temperature increases from 55�F to 60�F.
How does the average rate of change determined in part b compare with the average rate of change as the temperature increases from 65�F to 80�F.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The chart to the right shows how the number of chirps per minute of the snowy tree cricket is related to temperature.
Timely Noise
t, Temperature
(�F) N(t), Number of
Chirps/Minute
55 60
60 80
65 100
70 120
75 140
80 160
Crickets are usually silent when the temperature falls below 55�F. What is a possible practical domain for the snowy tree cricket function?
Domain: 55 to 100 degrees
----------------------------------------
Determine the average rate of change of the number of chirps per minute with respect to temperature as the temperature increases from 55�F to 60�F.
Average = (80-60)/(60-55) = 20/5 = 4 chirps per degree
----------------------------------------
How does the average rate of change determined in part b compare with the average rate of change as the temperature increases from 65�F to 80�F
Average = (160-100)/(80-65) = 60/15 = 4 chirps per degree
----------------------------------------
Cheers,
Stan H.
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