The sale-price range is $45,000 and the minimum is $235,000. Find the maximum price.
Correct Answer
B) $280,000
Maximum=minimum+range=235000+45000=280000. Subtracting the range would instead move below the minimum.
Why This Is the Correct Answer
Option B is correct because maximum = minimum + range = $235,000 + $45,000 = $280,000. Checking: $280,000 − $235,000 = $45,000, which matches the stated range.
Why the Other Options Are Wrong
Option A: $190,000
Option A, $190,000, comes from subtracting the range from the minimum: $235,000 − $45,000 = $190,000. That value is below the minimum, so it cannot be the maximum; the maximum is $235,000 + $45,000 = $280,000.
Option C: $45,000
Option C, $45,000, is the range itself, not the maximum price. The maximum is $235,000 + $45,000 = $280,000.
Option D: $235,000
Option D, $235,000, is the minimum price, not the maximum. Adding the range gives $235,000 + $45,000 = $280,000.
Bottom plus spread equals top
Start at the minimum and add the range to reach the maximum. Subtracting moves you below the bottom, which is impossible.
How to use: Use this to check that your maximum is larger than the given minimum.
Exam Tip
A maximum smaller than the minimum is a quick sign of a sign error. Check by subtracting your answer's minimum from its maximum.
Common Mistakes to Avoid
- -Subtracting the range from the minimum
- -Reporting the range as the maximum
- -Reporting the minimum as the answer
Concept Deep Dive
Analysis
This question tests rearranging the range formula. Because range equals maximum minus minimum, the maximum equals the minimum plus the range.
Background Knowledge
The range is the maximum value minus the minimum value. Knowing any two of range, maximum and minimum lets you find the third. The maximum must be at least as large as the minimum.
Real-World Application
An appraiser's notes record that neighborhood sales started at $235,000 and spanned a $45,000 range. The appraiser reconstructs the top sale price of $280,000 for the market analysis summary.
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