Calculus Question

Question

Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 115 chirps per minute at 70 degrees Fahrenheit and 171 chirps per minute at 86 degrees Fahrenheit.

Find a linear equation that models the temperature  as a function of the number of chirps per minute .

 1809

If the crickets are chirping at 154 chirps per minute, estimate the temperature:

Temperature =

Answer 1

Start with two point form from Algebra 1.

(N - 115) / (T - 70) = (171 - 115) / (86 - 70)

Transform into slope-intercept form.

N(115) = ?