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North CarolinaNC Supplementeasy100% of exam part

A contractor needs to dispose of 15 cubic yards of asbestos-containing materials. What is the estimated disposal cost at $85 per cubic yard plus $200 transportation fee?

Correct Answer

A) $1,475

Total cost = (15 cubic yards × $85) + $200 = $1,275 + $200 = $1,475

Answer Options
A
$1,475
B
$1,575
C
$1,275
D
$1,375

Why This Is the Correct Answer

The correct calculation is: (15 cubic yards × $85/cubic yard) + $200 transportation = $1,275 + $200 = $1,475. This straightforward two-step arithmetic problem tests the candidate's ability to apply unit pricing plus a fixed fee.

Why the Other Options Are Wrong

Option B: $1,575

$1,575 results from adding an extra $100 to the correct answer of $1,475, or from computing (15 × $85) + $300 instead of $200. This is an arithmetic error in the transportation fee component.

Option C: $1,275

$1,275 represents only the per-unit cost (15 × $85) without adding the $200 transportation fee. This is the most common partial-calculation error — forgetting to include the fixed fee.

Option D: $1,375

$1,375 is not reachable with the given numbers. It may result from computing 15 × $78 + $200 or some other misapplication of the rate, indicating an error in the per-unit calculation.

Memory Technique

Break cost problems into two buckets: Variable + Fixed. Here: Variable = 15 × $85 = $1,275. Fixed = $200. Total = $1,475. Always scan the problem for both a rate and a flat fee before calculating.

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