To determine which labeled point is a viable solution for the inequality \( 25x + 15y \geq 200 \), we need to evaluate each point by substituting their coordinates (x, y) into the inequality.
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Identify the Points: You must refer to the labeled points on the graph. Assuming that the points are labeled as (A, B, C, etc.), you would need to have their coordinates ready.
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Testing the Points: For each point, substitute the x and y values into the inequality: \[ 25x + 15y \geq 200 \]
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Evaluating Each Point:
- For point A with coordinates (x_A, y_A): \[ 25x_A + 15y_A \]
- For point B with coordinates (x_B, y_B): \[ 25x_B + 15y_B \]
- Continue this for all points (C, D, etc.)
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Determine Viability: After calculating the left-hand side for each point, if the result is greater than or equal to 200, then that point is a viable solution.
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Conclusion: The point(s) that satisfy the condition \( 25x + 15y \geq 200 \) will represent valid combinations of lawn mowing and dog walking that result in earnings meeting or exceeding 200 dollars.
Without specific coordinates for the points labeled in the graph, I can't provide the exact point that's a viable solution. However, follow the outlined steps to find it based on your graph's data.