Question

dolbears law states the relationship between the rate at which snowy tree crickets chirp and the air temperature of their environment. the formula is the following. t = 50+ (n - 40)/4, where t = temperature in degrees fahrenheit, n = number of chirps per minute. if t = 61°f, then n = 84. if t = 63°f, then n = 92. complete the sentence with increases or decreases. as the air temperature of their environment decreases, the number of cricket chirps per minute

Explanation:

Step1: Analyze the formula relationship

The formula is $T = 50+\frac{N - 40}{4}$. We can rewrite it to solve for $N$ in terms of $T$:
First, subtract 50 from both sides: $T - 50=\frac{N - 40}{4}$.
Then multiply both sides by 4: $4(T - 50)=N - 40$.
Finally, add 40 to both sides: $N=4(T - 50)+40=4T-200 + 40=4T-160$. This shows a direct - linear relationship between $T$ (temperature) and $N$ (number of chirps).

Step2: Determine the trend

Since the coefficient of $T$ in the equation $N = 4T-160$ is positive (4), as $T$ (air - temperature) increases, $N$ (number of cricket chirps per minute) also increases.

Answer:

increases