1 week = 7 days....so 1 week and 1/2 day = 7.5 days
2760 / 7.5 = 368 miles per day <==
Substitute
, so that

Then the resulting ODE in
is separable, with

On the left, we can split into partial fractions:

Integrating both sides gives




Now solve for
:


F(x) = 3(x-4)^2-38 because finding the perfect square would get you f(x)+38=3(x^2-8x+16) and then finding the squareroot of that and moving the constant on the left back to the right would leave u with f(x)=3(x-4)^2-38
System A: The system has exactly one solution (3,1)
System B: No Solution
System C: Infinite many solutions