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 t = 50 + \frac{n - 40}{4}, where t is a temperature in degrees fahrenheit and n is a number of chirps per minute. if t = 58°f, find the number of chirps per minute. n = (type an integer or a decimal )

Explanation:

Step1: Substitute T value into formula

Given $T = 58$ and $T=50+\frac{N - 40}{4}$, we get $58=50+\frac{N - 40}{4}$.

Step2: Isolate the fraction term

Subtract 50 from both sides: $58 - 50=\frac{N - 40}{4}$, so $8=\frac{N - 40}{4}$.

Step3: Solve for N

Multiply both sides by 4: $8\times4=N - 40$, which is $32=N - 40$. Then add 40 to both sides: $N=32 + 40$.

Answer:

$72$