The temperature in degrees Fahrenheit can be estimated from the number of cricket chirps per minute. If a cricket chirps 40 times per minute, the temperature is approximately 50 degrees Fahrenheit.
The average rate of change in temperature is 0.25 degree per chirp per minute. Use these facts to estimate
The temperature when a cricket chirps 67 times per minute.
A) 56.75 degrees
B) 51 degrees
C) 40.25 degrees
D) none of the above

Question

Quizplus · Accepted Answer

We can use the average rate of change in temperature to estimate the temperature when a cricket chirps 67 times per minute.
- From 40 to 67 chirps per minute, there is an increase of 27 chirps per minute.
- Using the average rate of change, we can estimate that for every chirp per minute, the temperature increases by 0.25 degrees.
- Therefore, for 27 chirps per minute, the temperature increases by 6.75 degrees (27 chirps/min x 0.25 degrees/chirp/min = 6.75 degrees).
- Since the temperature is approximately 50 degrees Fahrenheit at 40 chirps per minute, we can estimate that the temperature is 56.75 degrees Fahrenheit at 67 chirps per minute (50 degrees + 6.75 degrees = 56.75 degrees).
Therefore, choice A (56.75 degrees) is the best option.

The Temperature in Degrees Fahrenheit Can Be Estimated from the Number