It is fairly common knowledge that crickets are sensitive to temperature and chirp faster as the temperature rises. There are many different formulas for obtaining the temperature when you know how frequently a cricket chirps. Most of these formulas are simple linear functions.
a. Suppose that you count the number of times a cricket chirps in 10 seconds and find that it chirped 14 times when the temperature was 61°F. When the temperature was 88°F the cricket chirped 32 times in 10 seconds. Find a linear function T(c) that gives the temperature in degrees Fahrenheit as a function of the number of cricket chirps in a 10-second interval.
b. What is the temperature if the cricket chirps 24 limes in 10 seconds?
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