Preview Activity 1.2.1.
Use the equation \(T = 40 + 0.25N\) that relates the temperature, \(T\text{,}\) to the number of chirps per minute, \(N\text{,}\) to respond to the questions below. The equation is also called “Dolbear’s Law”.
(a)
If we hear snowy tree crickets chirping at a rate of \(92\) chirps per minute, what does Dolbear’s Law suggest should be the outside temperature?
(b)
If the outside temperature is \(77^\circ\) F, how many chirps per minute should we expect to hear?
(c)
Is the model valid for determining the number of chirps one should hear when the outside temperature is \(35^\circ\) F? Why or why not?
(d)
Suppose that in the morning an observer hears \(65\) chirps per minute, and several hours later hears \(75\) chirps per minute. How much has the temperature risen between observations?
(e)
Dolbear’s Law is known to be accurate for temperatures from \(50^\circ\) to \(85^\circ\text{.}\) What is the fewest number of chirps per minute an observer could expect to hear? the greatest number of chirps per minute?
