Question

Match each percent error to the actual amount and estimate it represents.

1. actual amount: 27; estimate: 31
2. actual amount: 51; estimate: 42
3. actual amount: 215; estimate: 240

a. 14.8%
b. 11.6%
c. 17.6%
d. 13.5%

Answer 1

For question 1, the percent error is 14.8% (a), for question 2, it is 17.6% (c), and for question 3, it is 11.6% (b). The percent error is calculated with the formula (|Actual Amount - Estimate| / Actual Amount) × 100. Matching each percent error to its pair results in: 14.8% for the first pair, 17.6% for the second pair, and 11.6% for the third pair, corresponding to options a, c, and b respectively.

Step-by-step explanation:

To match each percent error to the actual amount and estimate, we need to calculate the percent error using the formula:

Percent Error = (|Actual Amount - Estimate| / Actual Amount) × 100

1. For the first pair (actual amount: 27, estimate: 31), the percent error is: (|27 - 31| / 27) × 100 = (4 / 27) × 100 ≈ 14.8%
2. For the second pair (actual amount: 51, estimate: 42), the percent error is: (|51 - 42| / 51) × 100 = (9 / 51) × 100 ≈ 17.6%
3. For the third pair (actual amount: 215, estimate: 240), the percent error is: (|215 - 240| / 215) × 100 = (25 / 215) × 100 ≈ 11.6%

Thus, the matches for the given options are:

• 14.8% correlates with the first pair.
• 17.6% correlates with the second pair.
• 11.6% correlates with the third pair.

Please mention the correct options in the final answer: For question 1, the percent error is 14.8% (a), for question 2, it is 17.6% (c), and for question 3, it is 11.6% (b).