To keep the ratio the same, we need to find a point that has the same ratio of yellow paint to red paint as the previous points in Option B. The ratio for the first two points in Option B is \( \dfrac{11}{5} \) and the ratio for the next two points is \( \dfrac{22}{10} \).
To find the next ratio, we can simplify both fractions and compare them:
\( \dfrac{11}{5} = \dfrac{33}{15} \)
\( \dfrac{22}{10} = \dfrac{33}{15} \)
Both fractions are equal to \( \dfrac{33}{15} \). Therefore, the next coordinate pair for Option B should be (15, 33).
So, the correct answer is: (15, 33)
The Coordinate Plane Unit Test
14 of 1514 of 15 Items
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
(11, 33)
left parenthesis 11 comma 33 right parenthesis
(15, 23)
left parenthesis 15 comma 23 right parenthesis
(15, 33)
left parenthesis 15 comma 33 right parenthesis
(11, 23)
left parenthesis 11 comma 23 right parenthesis
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1 answer
1 answer