525/2 is the answer to your question. which may be a little bit of a larger fraction than normal
So out of 100 questioned 71 said Dallas Cowboys , that means 71% did , now we have to work out 71% of 1200 which is 852
The slope is 5/1 and the y-intercept is -3
Let
. Then


and substituting these into the ODE gives



Let
, so that
. Then the ODE is linear in
, with

Multiply both sides by
, so that the left side can be condensed as the derivative of a product:

Integrating both sides and solving for
gives

Integrate again to solve for
:

and finally, solve for
by multiplying both sides by
:

already accounts for the
term in this solution, so the other independent solution is
.