To determine the correct set of statements regarding the change in average rainfall, let's analyze the options provided.
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Option A:
- Statement: The average rainfall for the month increased by 45%.
- Equivalent expression: \( r + 0.45r = 1.45r \)
- This implies the new average is 145% of \( r \), which does indicate an increase.
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Option B:
- Statement: The average rainfall for the month increased by 55%.
- Equivalent expression: \( r + 0.55r = 1.55r \)
- This implies the new average is 155% of \( r \), which indicates an increase.
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Option C:
- Statement: The average rainfall for the month decreased by 45%.
- Equivalent expression: \( r - 0.45r = 0.55r \)
- This means the new average is 55% of \( r \), which does indicate a decrease.
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Option D:
- Statement: The average rainfall for the month decreased by 55%.
- Equivalent expression: \( r - 0.55r = 0.45r \)
- This means the new average is 45% of \( r \), indicating a decrease.
Based on these interpretations:
- If the average rainfall increased by 45% or 55%, the resultant expressions would reflect that increase.
- If the average rainfall decreased by 45% or 55%, the resultant expressions would also show the new level being a percentage remaining of the original average \( r \).
Without knowing the actual average rainfall to evaluate it directly if it has increased or decreased, we can say:
- Correct syntax for percentage increase would be \( r + \text{percent} \cdot r \)
- Correct syntax for percentage decrease would be \( r - \text{percent} \cdot r \)
If it indicates an increase, options A or B could be true. If it indicates a decrease, then options C or D could be true.
Without numerical figures to analyze the increases or decreases, we cannot definitively state which option is true. The changes identified in each option, therefore, reflect different possible scenarios. If you can provide the actual expression representing the average rainfall for this month, we can determine which statements apply correctly.
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