Answer :
Final answer:
The composition function g(d(n)) takes the number of cricket chirps per minute, n, as the input and outputs the temperature in degrees Celsius, c. Hence, the correct answer is where the input is cricket chirps and the output is the temperature in Celsius after converting from degrees Fahrenheit through an intermediate step. Therefore the correct answer is a).
Explanation:
In this case, d(n) represents the temperature in degrees Fahrenheit based on the number of cricket chirps per minute, n, and g(f) represents the temperature in degrees Celsius based on the temperature in degrees Fahrenheit, f.
Therefore, the input to the composition is the number of chirps, n, and ultimately the output is given as the temperature in degrees Celsius, c, after converting f through g(f). Thus, the correct statement that describes the input and output of the composition g(d(n)) is The input is the number of cricket chirps in 1 minute, and the output is the temperature in degrees Celsius.
Additionally, to analyze the temperature conversion from Fahrenheit to Celsius, it's notable that a drop of 40.0°F in temperature equates to a decrease in 22.22°C (40.0°F divided by 1.8). This reinforces the idea that a change in Fahrenheit degrees is nine-fifths the change in Celsius degrees, which is a key point to understand when discussing temperature conversions.