Question

Who made tables of values to approximate the solution to a system of equations? First, she found that the x value of the solution was between 0 and 1. In the end, she found that it was between 0 and 0.5. Which ordered pair is the best approximation of the exact solution?

a) (0.25, 0)
b) (0.75, 1)
c) (0.5, 0)
d) (1, 0.5)

Answer 1

The ordered pair (0.25, 0) is the closest approach to the exact solution.

Step-by-step explanation:

The student is using tables of values to approximate the solution to a system of equations. She first discovered that the solution's x value fell between 0 and 1. Then, she narrowed it down to between 0 and 0.5. To find the best approximation of the exact solution, we look at the given ordered pairs. The one that is closest to the narrowed down range is the best approximation. In this case, the ordered pair (0.25, 0) is the best approximation of the exact solution.