Question

According to the Encyclopedia Britannica, "The snowy tree cricket (Oecanthus fultoni) is popularly known as the thermometer cricket because the approximate temperature (Fahrenheit) can be estimated by counting the number of chirps in 15 seconds and adding 40."

Express this statement as a formula giving the temperature T as a function of the number N of chirps per 15 seconds for the snowy tree cricket.

Algebraically, transform the expression from part (a) into an equivalent one giving the temperature T as a function of the number of chirps, R, per minute for the snowy tree cricket.

Answer 1

9514 1404 393

Answer:

  a) T = N +40

  b) T = R/4 +40

Step-by-step explanation:

a) The problem statement tells us ...

  temperature = (chirps in 15 seconds) + 40

  T = N +40 . . . . . using assigned variables.

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b) There are 60 seconds in 1 minute, so 60/15 = 4 times as many chirps as in 15 seconds. Then the number of chirps (N) in 15 seconds will be R/4, where R is chirps per minute.

Substituting for N in the above equation gives ...

  T = R/4+40