The temperature when the cricket chirps 180 times a minute = [tex]83.72^{\circ} F[/tex]
Given:
The normal range of summer temperatures the number of chirps made by a cricket in a minute is predictable.
At 72°F the cricket chirps 140 times a minute. At 80° Fthe cricket chirps 172 times a minute.
i.e. frequency of chirps is directly proportional to the temperature.
Computation:
Let x be the temperature when the cricket chirps 180 times a minute, then
[tex]\dfrac{x}{180}=\dfrac{80}{172}\ \ \ \ \ [\text{Using direct variation equation:} \frac{x_}{y_1}=\frac{x_2}{y_2}}]\\\\\Rightarrow\ x\approx83.72^{\circ} F[/tex]
Hence, The temperature when the cricket chirps 180 times a minute = [tex]83.72^{\circ} F[/tex]
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