Question

calculate when the number of chips per minute for a species is the same as the temperature in degrees fahrenheit. suppose that the following law states the relationship between the rate at which a species chirp (n = chirps per minutes) and the air temperature of their environment (t = temperature in degrees fahrenheit). t = 47+\frac{n - 39}{4}. the number of chirps per minute for a species is the same as the temperature in degrees fahrenheit, when n = . (type an integer or a simplified fraction.)

Explanation:

Step1: Set T = N

Since the number of chips per minute (N) is the same as the temperature (T), we substitute T with N in the given formula $T = 47+\frac{N - 39}{4}$. So we get $N=47+\frac{N - 39}{4}$.

Step2: Multiply through by 4 to clear the fraction

Multiply each term on the right - hand side by 4: $4N = 4\times47+(N - 39)$.

Step3: Simplify the right - hand side

$4N=188 + N-39$.

Step4: Rearrange the equation to solve for N

Subtract N from both sides: $4N - N=188 - 39$.

Step5: Calculate the value of N

$3N = 149$, then $N=\frac{149}{3}$.

Answer:

$\frac{149}{3}$