Which coordinate pair should be plotted next for Option B to keep the ratio the same?
To determine which coordinate pair should be plotted next in Option B to keep the ratio the same, we need to find the common ratio between the y-coordinates of the existing points.
The given coordinate pairs are (2, 10), (4, 20), and (6, 30).
Let's calculate the ratio between the y-coordinates:
Ratio between (2, 10) and (4, 20): 20/10 = 2
Ratio between (4, 20) and (6, 30): 30/20 = 1.5
The common ratio is approximately 1.5.
To maintain this ratio, we need to find the next y-coordinate by multiplying the current y-coordinate by the common ratio:
(6, 30) × 1.5 = (6, 45)
Therefore, the next coordinate pair in Option B that should be plotted is (6, 45).