Question

The point P(1, 1/7) lies on the curve y = x/(6 + x). If Q is the point (x, x/(6 + x)), use a scientific calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.

(a) 0.5


(b) 0.9


(c) 0.99


(d) 0.999


(e) 1.5


(f) 1.1


(g) 1.01


(h) 1.001