Which ordered pair is the best approximation of the solution?

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

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