Question

The system of equations y = 2 x minus 1 and y = negative one-fourth x + 3 is shown on the graph below.

On a coordinate plane, 2 lines intersect around (1.8, 2.6).

What is a reasonable estimate for the solution?
(1 and three-fourths, 2 and one-half)
(2 and one-half, 1 and three-fourths)
(1 and one-third, 2 and one-half)
(2 and one-half, 1 and one-third)

Answer 1

A: (1 3/4, 2 1/2)

Explanation:

Answer 2

(1 3/4, 2 1/2)

Explanation:

The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.

So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...

1 3/4 = 1.75

2 1/2 = 2.5

1 1/3 ≈ 1.33

The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.

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The second number of the estimate needs to be close to 2.6. The offered choices are ...

2 1/2 = 2.5

1 3/4 = 1.75

1 1/3 = 1.33

The closest of these to 2.6 is 2.5, so the first choice is still the best choice.

A reasonable estimate is (1 3/4, 2 1/2).