all the coordinates for option A are: 12:5 24:10 36:15 Which coordinate pair should be plotted next for Option A to keep the ratio the same?

Question

(1 point)
Responses

(37, 16)

(48, 20)

(40, 19)

(41, 20)

Answer 1

To determine which coordinate pair should be plotted next to keep the ratio the same, we need to consider the pattern in the given coordinates.

Option A can be represented as (x, y), where x represents the value on the x-axis and y represents the value on the y-axis. By observing the given coordinates, we can see that the ratio of y to x is always 1:2 or 1/2.

Let's check the ratio for each option:

Option 1: 16/37 = 0.4324...
Option 2: 20/48 = 0.4167...
Option 3: 19/40 = 0.475
Option 4: 20/41 = 0.4878...

Based on these ratios, the closest ratio to 1/2 is observed in Option 3: (40, 19).

Therefore, the coordinate pair that should be plotted next for Option A to maintain the same ratio is (40, 19).