the chiring rate of crickets of some species is related to temperature, and the relationship appears to be very near linear. A cricket produces 113 chirps per minute at 70 degrees farenheit and 173 chirps per minute at 80 degrees farenheit.
wht's the slope of the graph of a linear equation hat models the temperature T as a function of the number of chirps per minute N?
a)1/4
b)1/6
c)10/59
d)6
e)1/12
slope = (increase in temp)/(increase in chirp rate)
Which answer is that?
To find the slope of the linear equation that models the relationship between temperature T and the number of chirps per minute N, we need to use the slope-intercept form of a linear equation, which is y = mx + b. In this case, T is the y-variable and N is the x-variable.
The slope (m) represents the rate of change between the two variables. To calculate the slope, we use the formula:
m = (change in y) / (change in x)
In this scenario, the change in chirps per minute is 173 chirps - 113 chirps = 60 chirps. The change in temperature is 80 degrees Fahrenheit - 70 degrees Fahrenheit = 10 degrees Fahrenheit.
Plugging these values into the formula, we get:
m = (60 chirps) / (10 degrees Fahrenheit)
Simplifying, we find:
m = 6 chirps per degree Fahrenheit
Therefore, the slope of the linear equation that models the temperature T as a function of the number of chirps per minute N is 6. Thus, the correct answer is (d) 6.