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 = 55°f, find the number of chirps per minute. n = □ (type an integer or a decimal.)

Explanation:

Step1: Substitute T value into formula

Given $T = 55$ and $T=50+\frac{N - 40}{4}$, we substitute $T$: $55=50+\frac{N - 40}{4}$.

Step2: Isolate the fraction term

Subtract 50 from both sides: $55 - 50=\frac{N - 40}{4}$, so $5=\frac{N - 40}{4}$.

Step3: Solve for N

Multiply both sides by 4: $5\times4=N - 40$, which gives $20=N - 40$. Then add 40 to both sides: $N=20 + 40$.

Answer:

60