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+\frac{n - 40}{4}, where t = temperature in degrees fahrenheit, n = number of chirps per minute. if n = 87, then t = 61.75°f. if n = 95, then t = 63.75°f. complete the sentence with “increases” or “decreases.” as the number of cricket chirps per minute decreases, the air temperature of their environment

Explanation:

Step1: Analyze the formula $T = 50+\frac{N - 40}{4}$

The formula shows a linear - relationship between $T$ (temperature) and $N$ (number of chirps per minute). The coefficient of $N$ is $\frac{1}{4}>0$.

Step2: Determine the relationship

Since the coefficient of $N$ in the formula is positive, when $N$ (the number of cricket chirps per minute) increases, the value of $\frac{N - 40}{4}$ increases, and thus $T$ (the temperature) increases.

Answer:

increases