Question

Last year, Theodora estimated that she would sell 96 bracelets, but at the end of the year, she had 16 bracelets left over. Which explains how Theodora can find the percent error of her estimate? First, find that the exact value is 96 minus 16 = 80. The error is 16. The absolute error is 16. Set up the ratio with the absolute error: 16/80. Divide and then multiply by 100 to find the percent error: (0.20) (100) = 20 percent.

True or False?

Answer 1

The procedure described for calculating Theodora's percent error is correct. The exact number of bracelets sold was 80, and the absolute error was 16, leading to a percent error of 20 percent.

Step-by-step explanation:

The statement regarding how Theodora can find the percent error of her estimate is true. The process outlined is correct to calculate percent error, which measures the accuracy of an estimate by comparing the estimated value to the actual value. Here are the steps in more detail:

• First, determine the exact value by subtracting the number of leftover bracelets (16) from the estimated total (96), which gives us 80 bracelets actually sold.
• The error is the difference between the estimated number and the actual number, which is indeed 16.
• The absolute error is also 16, which is the magnitude of the difference without considering the direction of the error (positive or negative).
• Set up the ratio for percent error using the absolute error over the exact value, which is 16/80.
• Divide and get a decimal, 16 divided by 80 equals 0.20.
• Multiply by 100 to convert to a percentage: 0.20 times 100 equals 20 percent, which represents the percent error of the estimate.