Krisha has a chocolate Labrador retriever named Sam. She believes her dog weighs 60 pounds. Sam’s actual weight is 75 pounds. Find the percent error. (1 point)


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1 answer

To find the percent error, you can use the 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 (actual weight of Sam)
  • Estimated Value = 60 pounds (Krisha's belief about Sam's weight)

Now, substitute the values into the formula:

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

Calculating the absolute difference:

\[ |75 - 60| = 15 \]

Now, divide by the actual value and multiply by 100:

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

\[ \text{Percent Error} = 0.2 \times 100 = 20% \]

So, the percent error is 20%.