Answer :

Final answer:

Cricket's chirping rate increases with temperature. Using a model that relates temperature with chirping rate, a cricket's chirping rate of 3000 per minute would imply an exceedingly high temperature, beyond their typical range.

Explanation:

The relationship between a cricket's chirping and temperature is such that the cricket's chirping rate increases proportionally with an increase in temperature. To estimate the temperature based on the chirping rate, one must use data collected from field studies or controlled experiments and use mathematical models to make the estimation. In one such model, a cricket's chirping rate at 308K (approximately 35°C or 95°F) was found to be 380 chirps per minute. Hence, if a cricket is chirping at a rate of 3000 chirps per minute, the temperature would be exceedingly high, beyond the natural range of temperatures these insects would encounter.

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Rewritten by : Barada

We want to find the temperature for 3000 chirps per minute.

The regression equation is;

[tex]y=0.0506x+28.87[/tex]

From this model, the temperature, when the bird produces 3000 chirps per minute is;

[tex]\begin{gathered} y=0.0506(3000)+28.87 \\ y=180.7^oF \end{gathered}[/tex]

Thus, the predicted temperature is 180 degrees Fahrenheit.