Biologists have noticed a chirping of crickets

Question

Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 114 chirps per minute at 69 degrees Fahrenheit and 177 chirps per minute at 83 degrees Fahrenheit.

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

If the crickets are chirping at 155 chirps per minute, estimate the temperature:Temperature = 

Answer 1

Temperature (T) will be the independent variable and Chirps per Minute (C) will be the dependent variable.

We have the points (69,114) and (83,177).

The slope is (177 - 114)/(83 - 69) = 63/14 = 4.5

C = 4.5T + b

Using the first point 114 = 4.5(69) + b

b = -196.5 (You can check with the other point to confirm that you didn't make an error anywhere.)

C = 4.5T - 196.5

155 = 4.5T - 196.5

T = 78.1