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?
(1 point)
Responses
(37, 16)
(48, 20)
(40, 19)
(41, 20)
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).