According to dolbear’s law, you can predict the temperature t (in degrees fahrenheit) by counting the number x of chirps made by a snowy tree cricket in 1 minute. for each rise in temperature of 0.25°f, the cricket makes an additional chirp each minute. a. a cricket chirps 40 times in 1 minute when the temperature is 50°f. write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute. equation: t= _ b. you count 100 chirps in 1 minute. what is the temperature? the temperature is_ ºf. c. the temperature is 96 °f. how many chirps would you expect the cricket to make? _chirps

Short answer T = n/4 + 40; 100 chirps = 65oF; 96o F = 224 chirps.

Comment
You have to find the base temperature (the y intercept) where there are no chirps. Then you have to use 1 chirp = 0.25oF

Givens
50oF = 40 chirps
1 chirp = 0.25oF 

Discussion and development of the formula
That implies that the base temperature was 10 degrees lower, because for every chirp increase per minute the temperature increases 0.25oF
1 chirp = 0.25oF
40 chiprs = x                    Cross multiply
1*x  = 0.25 * 40
x = 10oF

So the base temperature or the y intercept is 40oF

So far what you have is
T = n + 40 Where n is the number of chirps you hear. Now at 50oF which is 10oC more, you get 40 chirps. So n has to be divided by 4 (for the 0.25oF)

T = n/4 + 40
Where n is the number of chirps per minute.

Now try the samples with our formula.

Problem one
n = 100 chirps per minute
T = 100/4 + 40
T = 25 + 40
T = 65 oF

Problem Two
T = 96
n = ??
96 = n/4 + 40 Subtract 40 from both sides.
96 - 40 = n/4
56 = n/4 Multiply by 4
224 = n

You would expect 224 chirps / minute

Very interesting theorem. You can search the internet to find out how this was used on the Big Bang Theory. 

Here, feel free to ask if there are any questions