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: StartFraction 16 over 80 EndFraction. Divide and then multiply by 100 to find the percent error: (0.20) (100) = 20 percent. 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: StartFraction 16 over 96 EndFraction. Divide and then multiply by 100 to find the percent error: (0.166) (100) = 16.7 percent. First, find that the exact value is 96 +16 = 112. The error is 16. The absolute error is 16. Set up the ratio with the absolute error: StartFraction 16 over 112 EndFraction. Divide and then multiply by 100 to find the percent error: (0.14286) (100) = 14.3 percent. First, find that the exact value is 96 + 16 = 112. The error is 16. The absolute error is 32. Set up the ratio with the absolute error: StartFraction 32 over 112 EndFraction. Divide and then multiply by 100 to find the percent error: (0.285) (100) = 28.5 percent.

How can Theodora find the percent error of her estimate?

A) 20 percent
B) 16.7 percent
C) 14.3 percent
D) 28.5 percent

Answer 1

To find the percent error of her estimate, Theodora needs to subtract the number of bracelets left over from the estimated value, calculate the absolute error, and divide it by the exact value, then multiply by 100.

Step-by-step explanation:

To find the percent error of her estimate, Theodora needs to follow these steps:

1. First, find the exact value by subtracting the number of bracelets left over (16) from the estimated value (96). This gives us 96 - 16 = 80.
2. The error is the absolute value of the difference between the estimated value and the exact value, which is 16.
3. To find the percent error, set up the ratio with the absolute error: 16/80.
4. Divide the absolute error by the exact value and multiply by 100. In this case, (16/80) * 100 = 20 percent.

Therefore, the percent error of her estimate is 20 percent (option A).