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

For this case what you should do is observe the table that the values of y of both functions are as similar as possible.
We observed that:
For the x 1.6 coordinate we have:
[tex]y = 1.2 y = 1.4[/tex]
Therefore, a good approximation of the solution is:
[tex] \frac{(1.2 + 1.4)}{2} = 1.3 [/tex]
The ordered pair solution is:
(1.6, 1.3)
Answer:
(1.6, 1.3)option A

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-05-23T07:56:14+02:00

Answer:

The correct option is A.

Step-by-step explanation:

The given table represent the value of two functions

[tex]y=-3x+6[/tex] .... (1)

[tex]y=4x-5[/tex] .... (2)

Equate both the equations to find the solution of the equations.

[tex]-3x+6=4x-5[/tex]

Isolate like terms.

[tex]6+5=4x+3x[/tex]

[tex]11=7x[/tex]

[tex]\frac{11}{7}=x[/tex]

[tex]x\approx 1.571[/tex]

Put this value in equation (1).

[tex]y=-3(1.571)+6[/tex]

[tex]y\approx 1.287[/tex]

The solution of the system of equation is

[tex](1.571, 1.287)\approx (1.6,1.3)[/tex]

Therefore approximation of the exact solution is (1.6,1.3). The correct option is A.