# linear model: cricket chirps per minute vs temperature

#### kim123

##### New member
the number of crickets chirp per minute can be approximated as a linear function of temperature (degrees Fahrenheit) If the temperature if 60 degrees F, the cricket will chirp 180 times. If the temperature is 80 degrees F, the cricket will chirp 260 times per minute. T is the temperature and C is the chirps per minute.a) using ordered pairs of the form (T,C), write a linear equation for the chirps per minute, C as a function of temperature, T.b) using the equation from part (a), determine how many times per minute the cricket chirps if the temperature is 55 degrees F.

#### stapel

##### Super Moderator
Staff member
kim123 said:
the number of crickets chirp per minute can be approximated as a linear function of temperature (degrees Fahrenheit) If the temperature if 60 degrees F, the cricket will chirp 180 times. If the temperature is 80 degrees F, the cricket will chirp 260 times per minute. T is the temperature and C is the chirps per minute.a) using ordered pairs of the form (T,C), write a linear equation for the chirps per minute, C as a function of temperature, T.b) using the equation from part (a), determine how many times per minute the cricket chirps if the temperature is 55 degrees F.
You've been given two points, (60, 180) and (80, 260). Plug them into the slope formula that you've memorized to find the slope. a) Then plug either one of the points, along with the slope, into whichever straight-lline equation you've learned (or whichever one you prefer) to find the linear model.

b) Plug "55" in for "T". Find the value of C.

If you get stuck, please reply showing all of your work and reasoning so far. Thank you!

Eliz.