The chirp rate, C, in chirps per minute, of the snowy tree cricket is given by C = f(T) = 4T − 160 where T is degrees Fahrenheit.a. Find an appropriate domain of f in the context of the model assuming a maximum temperature of 134°F, the highest recorded at a weather station.5b. Find the range of f on this domain.

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Asked Jan 24, 2019
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The chirp rate, C, in chirps per minute, of the snowy tree cricket is given by C = f(T) = 4T − 160 where T is degrees Fahrenheit.

a. Find an appropriate domain of f in the context of the model assuming a maximum temperature of 134°F, the highest recorded at a weather station.5

b. Find the range of f on this domain.

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Expert Answer

Step 1

The given chirp rate is C = f(T) = 4T - 160 where T is degrees Fahrenheit.

Step 2

Part(a):

To find an appropriate domain of f in the context of the model assuming a maximum temperature of 134°F.

It is given that the maximum temperature is 134°F. Thus the maximum value of the domain is 134°F.

Now to find the minimum value, assume that the chirping rate is zero and find the temperature at that time. Since chirping rate goes down from zero is not logical.

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Step 3

Answer:

The domain of the function assuming the given condition is [4...

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