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, 33)
left parenthesis 15 comma 33 right parenthesis
(11, 23)
left parenthesis 11 comma 23 right parenthesis
(15, 23)
left parenthesis 15 comma 23 right parenthesis
(11, 33)
left parenthesis 11 comma 33 right parenthesis
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Based on the given points and the ratio between the red and yellow paint scoops, we can see that for every 2 scoops of red paint, there are 5 scoops of yellow paint.
To keep the same ratio, the next coordinate pair for Option B should have a ratio of 2:5. Looking at the given options, only (11, 23) fits this ratio.
Therefore, the correct answer is:
(11, 23)
left parenthesis 11 comma 23 right parenthesis