SOLUTION: Crickets chirp at 59 degrees F 76 chirps per minute. At 65 degrees they chirp 100 times a minute. Write an equation expressing chirping rate in terms of temperature. Then predic

Algebra ->  Linear-equations -> SOLUTION: Crickets chirp at 59 degrees F 76 chirps per minute. At 65 degrees they chirp 100 times a minute. Write an equation expressing chirping rate in terms of temperature. Then predic      Log On


   

Question 124385: Crickets chirp at 59 degrees F 76 chirps per minute. At 65 degrees they chirp 100 times a minute. Write an equation expressing chirping rate in terms of temperature. Then predict chirping rate at 90 degrees F.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Crickets chirp at 59 degrees F 76 chirps per minute. At 65 degrees they chirp 100 times a minute. Write an equation expressing chirping rate in terms of temperature. Then predict chirping rate at 90 degrees F.
:
Write it as a linear equation, x = temp and y = chirps/min
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find the slope: x1=59; y1=76; x2=65; y2=100
m =%28100+-+76%29%2F%2865+-+59%29 = 24%2F6 = +4
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Find the equation using the point/slope formula: y - y1 = m(x - x1)
:
y - 76 = 4(x - 59)
:
y - 76 = 4x - 236
:
y = 4x - 236 + 76
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y = 4x - 160 is our equation
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Find y when x = 90 (degrees)
y = 4(90) - 160
y = 360 - 160
y = 200 chirps/min at 90 degrees
:
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That would also mean that at 40 degrees all chirping will cease, perhaps that
is when crickets hibernate or something like that. What do you think?