Question

This is timed please help!!

Which ordered pair would form a proportional relationship with the point graphed below?

Ty

(-20, 40)

30 -

20

10-

-40 -30 -20 -19

10 20 30 40

20

O (-40, 20)

O (-10, -20)

O (15, -30)

Answer 1

The ordered pair that forms a proportional relationship with (-20, 40) is (15, -30), as both points have the same ratio of y-coordinate to x-coordinate, which is -2.

Step-by-step explanation:

To determine which ordered pair would form a proportional relationship with the given point (-20, 40), we need to find a pair where the ratio of the y-coordinate to the x-coordinate is the same as the ratio in the given point. The ratio for the point (-20, 40) is 40 / -20 = -2. Now, we evaluate the options provided:

• Option A: (-40, 20) has a ratio of 20 / -40 = -0.5, which is not equal to -2.
• Option B: (-10, -20) has a ratio of -20 / -10 = 2, which is also not equal to -2 because the sign is positive.
• Option C: (15, -30) has a ratio of -30 / 15 = -2, which is the same as the ratio of the given point.

Therefore, the ordered pair that forms a proportional relationship with (-20, 40) is (15, -30).

Answer 2

An ordered pair which would form a proportional relationship with the point graphed below is: C. (15, -30).

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

y represents the y-variable​.

x represents the x-variable.

k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using the various data points in table B as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = -40/20

Constant of proportionality, k = -2.

For each of the answer options, we have:

(-40, 20);

k = -20/40

k = -1/2 (False).

(-10, -20);

k = -20/-10

k = 2 (False).

(15, -30)

k = -30/15

k = -2 (True).

Complete Question:

Which ordered pair would form a proportional relationship with the point graphed below?

(-40, 20)

(-10, -20)

(15, -30)

(5, –15).