Use the image to answer the question.
A graph with the x-axis representing scoops of red paint ranging from 0 to 12 in increments of 1 and the y-axis representing scoops of yellow paint ranging from 0 to 30 in increments of 1 shows seven plotted points, 5 for option A and 2 option B. Option A has the following points: left parenthesis 2 comma 5 right parenthesis; left parenthesis 4 comma 10 right parenthesis; left parenthesis 6 comma 15 right parenthesis; left parenthesis 8 comma 20 right parenthesis; and left parenthesis 10 comma 25 right parenthesis. Option B has the following points: left parenthesis 5 comma 11 right parenthesis and left parenthesis 10 comma 22 right parenthesis.
Which coordinate pair should be plotted next for Option B to keep the ratio the same?
(1 point)
Responses
(15, 23)
left parenthesis 15 comma 23 right parenthesis
(11, 33)
left parenthesis 11 comma 33 right parenthesis
(11, 23)
left parenthesis 11 comma 23 right parenthesis
(15, 33)
left parenthesis 15 comma 33 right parenthesis
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Based on the provided information, we need to maintain the same ratio between scoops of red paint and scoops of yellow paint for Option B. The coordinate pairs given for Option B are (5, 11) and (10, 22). To find the ratio, we divide the number of scoops of yellow paint by the number of scoops of red paint for one of the points. Let’s use the first point:
Ratio for (5, 11) = 11/5 = 2.2
This ratio 2.2 needs to be the same for the next point plotted for Option B. Now let's check each of the provided options to see which maintains the ratio:
1. For (15, 23), the ratio would be 23/15 ≈ 1.53, which does not match the existing ratio of 2.2.
2. For (11, 33), the ratio would be 33/11 = 3, which does not match the existing ratio of 2.2.
3. For (11, 23), the ratio would be 23/11 ≈ 2.09, which is close but not exactly 2.2.
4. For (15, 33), the ratio would be 33/15 = 2.2, which does exactly match the existing ratio of 2.2.
Thus, the correct coordinate pair that should be plotted next for Option B to keep the ratio the same is (15, 33).