Question

Which ordered pair is the best approximation of the exact solution?

Answer 1

Answer:0.9, 2.4)

Explanation:(0.9, 2.4)

Answer 2

The correct option is C.

Step-by-step explanation:

The given system of equation is

`y=4x-1`

`y=-3x+5`

The table of values is given. From the table:

The difference between both functions at x=0.5 is

`1-3.5=-2.5`

The difference between both functions at x=0.6 is

`1.4-3.2=-1.8`

The difference between both functions at x=0.7 is

`1.8-2.9=-1.1`

The difference between both functions at x=0.8 is

`2.2-2.6=-0.4`

The difference between both functions at x=0.9 is

`2.6-2.3=0.3`

The difference between both functions at x=1 is

`3-2=1`

The absolute difference between both the functions is minimum at x=0.9. So, the x-coordinate of the solution is 0.9.

The graph of both functions is shown below. Both functions intersect each other at (0.857,2.429). It means the solution of given system of equations is

`(0.857,2.429)\approx (0.9,2.4)`

The solution of given system of equations is (0.9,2.4). Therefore the correct option is C.