December 4th, 2016, 05:35 PM  #11 
Math Team Joined: Jul 2011 From: Texas Posts: 2,518 Thanks: 1240  too much "C" and in the wrong direction.
Last edited by skeeter; December 4th, 2016 at 05:45 PM. 
December 4th, 2016, 07:45 PM  #12 
Newbie Joined: Dec 2016 From: Oregon Posts: 8 Thanks: 0  Final Correct Solution
P(t)=25sin(pi/12(t6))+95 is correct. When you do P(12) It equals 120. My question is how did you immediately know that 6 shifted the graph correctly and that 6 was c? Thanks for your help. Last edited by HisNameForever; December 4th, 2016 at 08:01 PM. 
December 4th, 2016, 08:19 PM  #13 
Math Team Joined: Jul 2011 From: Texas Posts: 2,518 Thanks: 1240 
The green graph is the sine curve with no shift ... note the red curve is that green sine curve shifted right 6 hours. btw ... the equation of the red curve can also be written $P(t)=9525\cos\left(\dfrac{\pi}{12} \cdot t \right)$ 

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