A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?
Question
A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?
Solution
To analyze whether the scale is accurate, we can break down the problem and evaluate the provided weight in relation to the actual weight.
Step 1: Understanding the Problem
The actual weight is 15 pounds, while the scale reads 12.375 pounds. We need to determine if the scale is underreporting the weight and by how much.
Step 2: Relevant Concepts
- Actual Weight (AW): 15 pounds
- Measured Weight (MW): 12.375 pounds
- Difference in Measurements:
Step 3: Analysis and Calculation
- Calculate the difference: This shows that the scale underreports the weight by 2.625 pounds.
Step 4: Verify and Summarize
The scale shows a weight of 12.375 pounds for an actual weight of 15 pounds, indicating that the scale is inaccurate.
Final Answer
The scale underreports the weight by 2.625 pounds, which confirms it is not reporting correctly.
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