To find the possible coordinates of the plotted point at (3, 7.25) in quadrant 4, we need to analyze the given options with respect to the value of the x-coordinate (3) and the y-coordinate (7.25).
In quadrant 4, the x-coordinate is positive and the y-coordinate is negative. Therefore, we are looking for a point with x = 3 and y < 0.
Let's examine the options:
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(−714, 3): This point is in the second quadrant (negative x, positive y), which is incorrect.
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(3, −712): This point has x = 3 (correct) and y = −712 (negative, correct). This is a valid option.
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(3, −714): This point has x = 3 (correct) and y = −714 (negative, correct). This is also a valid option.
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(−3, 714): This point is in the second quadrant (negative x, positive y), which is incorrect.
From the options presented, both option 2 and option 3 are valid considering that they both satisfy the conditions of quadrant 4 (positive x and negative y). However, only option 2 has the negative y value of approximately -7, which fits the initial detail provided that the plotted point is at 7.25 increments on the y-axis.
As the initial point is given as (3, 7.25), which translates to (3, -7.25) in quadrant 4, the best matching coordinates among the options is:
(3, −712).