Looking for an equation expressed algebriacally that answers the following

1. Jun 28, 2009

seasnake

Given an XY graph where the horizontal line is X and the vertical line is Y and their intersection is zero, if A = 0,1 (a horizontal line one increment above the X axis), I want to know the formula that correctly expresses the value of B if B started at 0,0 and always approaches infinite A at a uniformly constant rate.

2. Jun 28, 2009

Mentallic

a.k.a. The Cartesian Plane. Probably the most widely known and frequently used coordinate system in Mathematics

Everything is very clear cut, until...
You just said "A= 0, 1", a notation I would have interpreted as the point (0, 1) but then you say "(a horizontal line one increment above the X axis)" which is the line y= 1. In either case, what do you mean by "approaches infinite A"? A is NOT "infinite". Do you mean "is asymptotic to y= 1 as x goes to infinity"? And what do you mean by "approaches at a uniformly constant rate"? That d(y-1)/dx= constant? That's impossible. Any solution to that is linear and cannot be asymptotic to y= 1. d(y-1)/dx= constant*(y-1) is possible. Calling the constant rate $\alpha$, any solution to that is of the form
$$y=1+ Ce^{\alpha x}$$
which approaches y= 1 at constant rate $\alpha< 0$.