Question 998962
You are really interested in making the equation to relate T and S.  Think of the format of the model to be like {{{S=mT+b}}} for general points  (T,S).  That equation for S is in slope-intercept form.


One point described is  (32, 1087.5).
The slope, m, is described as positive, relating  1.1 feet per second with 1 degree Fahrenheit, so {{{m=1.1}}}.


Your choice to form the more specific equation.  You can either use point-slope form, or you can use slope-intercept form.


Here, the work will stay in slope-intercept form  (but not need to do so).
{{{S=mT+b}}}
{{{S-mT=b}}}
{{{b=S-mT}}}
substitute the known point and slope:
{{{b=1087.5-1.1*32}}}
{{{b=1052.3}}}


Final formula is {{{highlight(S=1.1*T+1052.3)}}}.



The formula can easily be solved for T as a function of S.