1. The problem statement, all variables and given/known data A thermometer reading 70o F is placed in an oven preheated to a constant temperature. Through a glass window in the over door, an observer records that the thermometer reads 110o F after 1/2 minute and 145o F after 1 minute. How hot is the oven. 2. Relevant equations T(t)=(To-TR)ekt+TR 3. The attempt at a solution Ok so I let said TR= Oven Temperature To=70 To(.5)=110 To(1)=145 I then set up the general equation as T(t) = (70-TR)ekt+TR Then using the two times and temperatures I was given I created these two equations. 145=(70-TR)ek+TR 110=(70-TR)e.5k+TR I then moved over the TR on the end over to the left side giving me these two equations 145-TR=(70-TR)ek 110-TR=(70-TR)e.5k Dividing the top equation by the bottom i get (145-TR)/(110-TR)=e.5k Taking the natural log of both sides and then dividing by .5 gets me k= 2*ln((145-TR)/(110-TR)) To me this seems like I may have overcomplicated something or made a mistake as plugging that value of k back into the equation seems like it would make solving for TR incredibly difficult, not even sure how I would be able to solve for TR using that value for k. So what I'm asking is if the steps I took were the right ones to do and if I should go ahead and try to solve for TR using that value for k or if there is a simpler way. Thanks in advance.