Ratios in the Coordinate Plane Quick Check
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Question
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A coordinate plane shows red paint on the X-axis and blue paint on the Y-axis. The X-axis ranges from 0 to 10 in increments of 2. The Y-axis ranges from 0 to 15 in increments of 3. The data points are left parenthesis 2 comma 3 right parenthesis, left parenthesis 4 comma 6 right parenthesis, left parenthesis 6 comma 9 right parenthesis, and left parenthesis 8 comma 12 right parenthesis.
Choose the coordinate pair to plot on the coordinate plane so the ratio stays equivalent.
(1 point)
Responses
(10, 15)
left parenthesis 10 comma 15 right parenthesis
(10, 14)
left parenthesis 10 comma 14 right parenthesis
(9, 15)
left parenthesis 9 comma 15 right parenthesis
(15, 10)
left parenthesis 15 comma 10 right parenthesis
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To determine which coordinate pair keeps the ratio equivalent, we need to look at the pattern in the given points.
If we look at the x-values, we can see that they increase by 2 for each point: 2, 4, 6, 8.
If we look at the y-values, we can see that they increase by 3 for each point: 3, 6, 9, 12.
Therefore, the ratio of the x-values to the y-values is always 2:3.
To keep the ratio equivalent, we need to choose a point that also has a ratio of 2:3.
The only option that satisfies this condition is (10, 15), so the answer is:
(10, 15)