The Coordinate Plane Unit Test
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Question
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, 23)
left parenthesis 11 comma 23 right parenthesis
(15, 33)
left parenthesis 15 comma 33 right parenthesis
(11, 33)
To keep the ratio the same, the x-coordinate of the next point for Option B should be the same as the x-coordinate of the previous point, while the y-coordinate should be the double of the previous y-coordinate.
The previous point for Option B is (10, 22), so the next point should have an x-coordinate of 10 and a y-coordinate of 2 * 22 = 44.
Therefore, the correct coordinate pair should be (10, 44).