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

ID: 2835227 • Letter: B

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 148 chirps per minute at 60 degrees F and 185 chirps per minute at 100 degrees F. (answers with 4 significant digits)

a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N.

b) What is the slope of the graph?

I've been using the equation (185-148) / (100-60) =.925 but webwork is marking it wrong.

c) If the crickets are chirping at 146 chirps per minute, estimate the temperature.

Explanation / Answer

Chirps per minute = equivalent Temperature in Fahrenheit
(A)148cpm=(D)60F
(B)146cpm=(E) x
(C)185cpm=(F)100F

m = 100-60/(185*148) = 40/37

y-60 = (40/37)(x-148)

A.

y = 40x/37-(148*40/37)+60

B.

m = 40/37

C.

y = (40*146/37)-(148*40/37)+60