Cricket Problem

Cricket Problem
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  • I'm looking for the temperature that crickets stop chirping.
  • Why are you reading Deep River Jim's Wilderness Trailbook?
  • No, but the chirps per minute are a linear function of the temperature. Apparently at 59ºF they make 76 chirps per minute and at 65ºF they make 100 chirps per minute.
  • Have you figured it out yet?
  • In order to find the slope I'll use the two points. 
  • It seems that for every degree that is added to the temperature there are 4 more chirps per minute.
  • Now that I know the slope I need the y-intercept. I'll use the first point to replace the variables.
  • The y-intercept is -160. Now I have my equation. 
  • Let me check my work by replacing x with 40 and solving.
  • If I want to find when the crickets stop chirping I have to take the y and replace it with 0 and solve.
  • Let me check with some other problems. If I put 90ºF I get 200 chirps per minute. Put the 200 chirps per minute and got 90ºF. That works. Let's try putting 120 chirps per minute and get 70ºF. Put 70ºF and get 120 chirps per minute. This seems to work.
  • It seems at 40ºF the crickets stop chirping.
  • I figured at what temperature crickets stop chirping.
  • At 40ºF the crickets will stop chirping. If you ever need anymore help just ask me.
  • Really? What is it? 
  • Thanks, I don't know if I could have done it without you.
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