Question

when a cricket chirps 40 times in one minute, the temperature is about 50°f. when a cricket chirps 80 times in one minute, the temperature is about 60°f. the temperature in degrees fahrenheit, y, is a linear function of the number of chirps, x.
rate of change: \\(\frac{1}{4}\\) initial value: 40
write the equation of the function.

Explanation:

Step1: Recall linear function formula

A linear function is in the form \( y = mx + b \), where \( m \) is the rate of change (slope) and \( b \) is the initial value (y - intercept).

Step2: Substitute values into formula

Given rate of change \( m=\frac{1}{4} \) and initial value \( b = 40 \). Substitute these into \( y=mx + b \).
We get \( y=\frac{1}{4}x + 40 \).

Answer:

\( y=\frac{1}{4}x + 40 \)