Use the image to answer the question.
A coordinate plane shows an x-axis ranging from 0 to 10 in increments of 2 and a y-axis ranging from 0 to 15 in increments of 3. The plotted points form an upward diagonal line. The first data point is at left parenthesis 2 comma 3 right parenthesis. The fourth data point is at left parenthesis 8 comma 12 right parenthesis. Two points in between the given points are left blank with only the parenthesis. The X-axis value of the second data points are the scale value next to 2 and the Y-axis value next to 3. The X-axis value of the third data points are the scale value next to 4 and the Y-axis value next to 6.
Choose the coordinate pair to plot on the coordinate plane so the ratio stays equivalent.
(1 point)
Responses
(3, 8)
Left Parenthesis 3 comma 8 Right Parenthesis
(6, 4)
Left Parenthesis 8 comma 4 Right Parenthesis
(4, 6)
Left Parenthesis 4 comma 8 Right Parenthesis
(4, 10)
Left Parenthesis 4 comma 10 Right Parenthesis
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Based on the information provided, it seems that the fourth data point is at (8, 12). Since the coordinates form an upward diagonal line, we can assume that the x-coordinate and y-coordinate increase proportionally.
Based on this pattern, we can calculate the x-coordinate of the second data point by finding the difference between the x-coordinate of the fourth data point (8) and the x-coordinate of the first data point (2). The difference is 6. Therefore, the x-coordinate of the second data point would be 8 + 6 = 14. However, since the x-axis only ranges from 0 to 10, the x-coordinate of the second data point should be limited to 10.
Similarly, we can calculate the y-coordinate of the second data point by finding the difference between the y-coordinate of the fourth data point (12) and the y-coordinate of the first data point (3). The difference is 9. Therefore, the y-coordinate of the second data point would be 3 + 9 = 12.
Therefore, the coordinate pair to plot on the coordinate plane so the ratio stays equivalent would be (10, 12).
The correct answer is:
(10, 12)
that wasnt one of the connexus answers
I apologize for the confusion. If the answer choices provided by Connexus are different, then the correct answer would be the option given within those choices. Without the specific answer choices provided by Connexus, I am unable to determine the correct response from the given options.
To determine the correct coordinate pair that will maintain an equivalent ratio on the upward diagonal line, we can use the ratio between the x and y coordinates of the given points.
Let's calculate the ratio between the x and y coordinates of the given points:
Ratio of x coordinates:
(8 - 2) / (4 - 2) = 6 / 2 = 3
Ratio of y coordinates:
(12 - 3) / (6 - 3) = 9 / 3 = 3
We can see that the ratio of the x and y coordinates for the given points is 3. To maintain an equivalent ratio, we need to find a coordinate pair that has a ratio of 3.
Let's check the options:
Option 1: (3, 8)
Ratio of x coordinates: 3 / 2 = 1.5
Ratio of y coordinates: 8 / 3 = 2.666...
Option 2: (6, 4)
Ratio of x coordinates: 6 / 2 = 3
Ratio of y coordinates: 4 / 3 = 1.333...
Option 3: (4, 6)
Ratio of x coordinates: 4 / 2 = 2
Ratio of y coordinates: 6 / 3 = 2
Option 4: (4, 10)
Ratio of x coordinates: 4 / 2 = 2
Ratio of y coordinates: 10 / 3 = 3.333...
Based on the calculated ratios, we can see that only option 3, (4, 6), has a ratio of 2 between the x and y coordinates. Therefore, the correct answer is:
(4, 6)