Question

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)

Answer 1

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)**.