when a cricket chirps 40 times in one minute, the temperature is about 50°f. when a cricket chirps 80 times…
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. what is the temperature when there are no chirps at all? °f
Answer
Answer:
40
Explanation:
Step1: Identify two - point form
We have two points ((x_1,y_1)=(40,50)) and ((x_2,y_2)=(80,60)). The slope (m) of the line is given by (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{60 - 50}{80 - 40}=\frac{10}{40}=\frac{1}{4}).
Step2: Use point - slope form
The point - slope form of a line is (y - y_1=m(x - x_1)). Using the point ((40,50)) and (m = \frac{1}{4}), we have (y-50=\frac{1}{4}(x - 40)), which simplifies to (y=\frac{1}{4}x+40).
Step3: Find temperature when (x = 0)
When (x = 0) (no chirps), we substitute (x = 0) into the equation (y=\frac{1}{4}x + 40). Then (y=\frac{1}{4}\times0+40=40). So the temperature is (40^{\circ}F).