Question

a veterinarian is estimating the weight of a puppy. the actual weight of the puppy is 8.7 kg. the veterinarians estimate is 9 kg. find the absolute error and the percent error of the veterinarians estimate. if necessary, round your answers to the nearest tenth. absolute error = \boxed{} kg percent error = \boxed{} %

Explanation:

Step1: Calculate Absolute Error

Absolute error is the absolute difference between the estimated value and the actual value. The formula is $| \text{Estimate} - \text{Actual} |$. Here, Estimate = 9 kg, Actual = 8.7 kg. So, $| 9 - 8.7 | = 0.3$ kg.

Step2: Calculate Percent Error

Percent error is given by the formula $\frac{|\text{Estimate} - \text{Actual}|}{\text{Actual}} \times 100\%$. We already found the absolute error (0.3 kg) and the actual value is 8.7 kg. So, $\frac{0.3}{8.7} \times 100\% \approx 3.4\%$ (rounded to the nearest tenth).

Answer:

absolute error = 0.3 kg
percent error = 3.4 %