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so I tried getting the equation from the data set up above, but I don't know if i did it right. If someone could please just check for me and tell me if im missing anything that'd be really good. Thank you

 May 4, 2022
 #1
avatar+124595 
+1

You did a pretty good job !!!!

 

I would shift  the graph to the right by pi/6    so we  get

 

y = -20cos (pi*x / 6  - pi/6) +  51

 

It  lines up a little better this way.......the  temps will not be exact for all months  because we don't have constant changes between them,  but  this  is about the  best you can  do with a periodic trig function

 

See the graph here with a few selected points   : https://www.desmos.com/calculator/zxwgqqtjzl

 

 

cool cool cool

 May 4, 2022

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