Angie believes her dogs weigh 60 pounds. He actually weighs 75 pounds. Find the percent error.

1 answer

To find the percent error, you can use the following formula:

\[ \text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Estimated Value}}{\text{Actual Value}} \right) \times 100 \]

In this case:

  • Actual Value = 75 pounds (the true weight of the dog)
  • Estimated Value = 60 pounds (what Angie believes the dog weighs)

Now, substituting the values into the formula:

\[ \text{Percent Error} = \left( \frac{75 - 60}{75} \right) \times 100 \]

\[ \text{Percent Error} = \left( \frac{15}{75} \right) \times 100 \]

\[ \text{Percent Error} = 0.2 \times 100 \]

\[ \text{Percent Error} = 20% \]

Therefore, the percent error is 20%.