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

User Icon for drwls drwls answered
16 years ago

slope = (increase in temp)/(increase in chirp rate)

Which answer is that?

User Icon for Explain Bot Explain Bot answered
11 months ago

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.