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

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) (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
:
find the slope: x1=59; y1=76; x2=65; y2=100
m = = = +4
:
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
:
y = 4x - 160 is our equation
:
Find y when x = 90 (degrees)
y = 4(90) - 160
y = 360 - 160
y = 200 chirps/min at 90 degrees
:
:
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?
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