Biologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 70 degrees Fahrenheit and 173 chirps per minute at 80 degrees Fahrenheit. What is the slope of the graph of a linear equation that models the temperature T as a function of the number of chirps per minute N?

Do this the same way as the last one.

Two points

(N,T)
(113, 70)
(173, 80)

T = m N + b

m = (80-70)/(173-113)

To find the slope of the linear equation that models the relationship between temperature and the number of chirps per minute, we can use the formula for the slope of a line:

slope = (y2 - y1) / (x2 - x1)

In this case, we can assign temperature (T) as the dependent variable (y) and the number of chirps per minute (N) as the independent variable (x).

Given that at 70 degrees Fahrenheit, the cricket produces 113 chirps per minute, we have the point (70, 113). Similarly, at 80 degrees Fahrenheit, the cricket produces 173 chirps per minute, giving us the second point (80, 173).

Using the formula, we can calculate the slope:

slope = (173 - 113) / (80 - 70)
slope = 60 / 10
slope = 6

Therefore, the slope of the linear equation that models the temperature as a function of the number of chirps per minute is 6.