It seems that there may be some confusion in your description of what Sophie was supposed to do versus what she actually did. Let's clarify a few points:
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Understanding Coordinates: When plotting a point in a coordinate system, the first number is the x-coordinate (horizontal movement), and the second number is the y-coordinate (vertical movement).
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Original Instruction: Sophie was supposed to plot the point (8, 5). To do this:
- Start at the origin (0, 0).
- Move 8 units to the right (because the x-coordinate is positive).
- Move 5 units up (because the y-coordinate is positive).
This would correctly place the point at (8, 5).
Now, let's consider the options you provided for where Sophie may have gone wrong:
Options:
- A: 13 units to the right
- B: 1 unit to the right and 5 units up
- C: A units to the right and 5 units to the left
- D: A units up and 5 units down
Analyzing Each Option:
- A: If Sophie moved 13 units to the right, she would be plotting the point (13, 0), which is not correct for (8, 5).
- B: Moving 1 unit to the right and 5 units up would result in the point (1, 5), which is also incorrect.
- C: Moving A units to the right and 5 units to the left means she would not end up at a proper coordinate directly related to (8, 5) without specific values for A.
- D: Moving A units up and 5 units down also doesn't provide a direct correlation to the desired coordinate.
Conclusion:
If Sophie made a mistake, it would depend on her actual movements rather than the intended instruction. From the context given and without knowing what values Sophie used for A in options C and D, we cannot definitively say what point she ended up plotting.
However, if you would like to know the expected result for a specific option, please provide further details about what Sophie actually did. If she correctly followed the instruction for (8, 5), then she would end up with the point (8, 5) after moving correctly from the origin.