The graph of x²/4 - y² = 1 is a hyperbola. We know that the graph of this hyperbola approaches its asymptotes as 0 x 0 increases without bound. Work Exercises in order, to see the relationship between the hyperbola and one of its asymptotes.

Use a calculator to evaluate the y-coordinate of the point where x = 50 on the graph of the portion of the hyperbola represented by the equation obtained in Exercise 61. Round the answer to the nearest hundredth.

Exercise 61

Solve x²/4 - y² = 1 for y, and choose the positive square root.