To determine which of the points is a viable solution for the inequality \(25x + 15y \geq 200\), we can substitute the coordinates of each point into the inequality and check if it satisfies the condition.
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Point A: \((20, 11.5)\) \[ 25(20) + 15(11.5) = 500 + 172.5 = 672.5 \] \[ 672.5 \geq 200 \quad \text{(True)} \]
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Point B: \((2, 3)\) \[ 25(2) + 15(3) = 50 + 45 = 95 \] \[ 95 \geq 200 \quad \text{(False)} \]
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Point D: \((10, 10)\) \[ 25(10) + 15(10) = 250 + 150 = 400 \] \[ 400 \geq 200 \quad \text{(True)} \]
Based on the evaluations:
- Point A is a viable solution.
- Point B is not a viable solution.
- Point D is a viable solution.
Since options A and D both satisfy the inequality, you can choose either A or D as a viable solution. However, if we strictly follow the answer choices provided, we can conclude:
- The correct answer to the question, considering the possible responses, would be:
A: (20, 11.5) or D: (10, 10), depending on what is accepted.
If the choice is limited to only one option as per provided choices, you may need to verify which one is preferred or acceptable among the available options. If only one can be selected from the list, you may consider mentioning that multiple points are valid but choose one based on preference or additional context provided in the question.
If required, I'd suggest selecting point D: (10, 10) as it's more moderate and represents a typical scenario in a context of lawn mowing and dog walking earnings.