Question

Philip made tables of values to solve a system of equations first he found out that the X value of the solution was between zero and one and then he found that it was between 0.5 and one next he made this table which ordered pair is best approximation of the exact value

Answer 1

D. (0.6, 1.9)

Explanation:

In the figures attached, the missing table and the missing options are shown.

At the solution, the values of both y are the same. Between 0.5 and 0.6, first y values changes from 2 to 1.8, and second y values change from 1.5 to 2. This means that between this range the lines intersect each other, that is, the values of both lines are equal. At x = 0.6 the functions are closer than at x = 0.5, then the point (0.6, 1.9) is best approximation of the exact solution.