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Question 671625: At 68 degrees F, a certain species of cricket chirps 24 times per minute.At 40 degrees F, the same cricket chirps 86
A. express the number of chirps (y) as a linear function of the farenheit temperature (X)( hint: find the slope first).
B. Interpet the slope in a sentence for this linear function.
C. If the temperature is 60 degrees F how many times will the cricket chirp per min?
D. If you count the number of cricket chirps in one half minute and hear 40 chirps,what is the temperature?times per min.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At 68 degrees F, a certain species of cricket chirps 24 times per minute.At 40 degrees F, the same cricket chirps 86
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Points: (68,24) and (40,86)
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A. express the number of chirps (y) as a linear function of the farenheit temperature (X)( hint: find the slope first).
slope = (86-24)/(40-68) = 62/-28 = -(31/14)
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Form: y = mx + b
substitute for y,x,m ; Solve for "b":
24 = (-31/14)68 + b
b = 174.57
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Equation:
y = (-31/14)x + 174.57
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B. Interpet the slope in a sentence for this linear function.
When the temperature decreases 31, the # of chirps increases 14
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C. If the temperature is 60 degrees F how many times will the cricket chirp per min?
Solve f(60)
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D. If you count the number of cricket chirps in one half minute and hear 40 chirps,what is the temperature?times per min.
# per minute would be 80
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solve 80 = (-31/14)x + 174.57 for "x".
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cheers,
Stan H.
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