which coordinate pair should be plotted Next for option A to keep the ratio the same A (48, 20) B (40, 19) C (41, 20) D (37, 16)

1 answer

To determine which coordinate pair should be plotted next for option A (48, 20) in a way that keeps the same ratio, we first calculate the ratio of the x-coordinate to the y-coordinate for A:

For A (48, 20): \[ \text{Ratio A} = \frac{48}{20} = 2.4 \]

Now, we'll calculate the ratios for the other options:

For B (40, 19): \[ \text{Ratio B} = \frac{40}{19} \approx 2.105 \]

For C (41, 20): \[ \text{Ratio C} = \frac{41}{20} = 2.05 \]

For D (37, 16): \[ \text{Ratio D} = \frac{37}{16} = 2.3125 \]

None of the options provide the exact same ratio of 2.4 as A, but if the goal is to find a pair that maintains a similar ratio, we can see that D (37, 16) gives a ratio closest to 2.4.

Therefore, while it doesn't maintain the same ratio exactly, the coordinate pair that should be plotted next for option A to keep the ratio closest to the same is:

D (37, 16).