Question

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

Answer 1

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:
  $y = 1.2 y = 1.4$
 Therefore, a good approximation of the solution is:
 $\frac{(1.2 + 1.4)}{2} = 1.3$
 The ordered pair solution is:
 (1.6, 1.3)
 Answer:
 (1.6, 1.3)option A

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

The given table represent the value of two functions

$y=-3x+6$                .... (1)

$y=4x-5$                  .... (2)

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

$-3x+6=4x-5$

Isolate like terms.

$6+5=4x+3x$

$11=7x$

$\frac{11}{7}=x$

$x\approx 1.571$

Put this value in equation (1).

$y=-3(1.571)+6$

$y\approx 1.287$

The solution of the system of equation is

$(1.571, 1.287)\approx (1.6,1.3)$

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