Questions: Chris estimates his dirt bike to weigh 210 pounds, but it's actually 245 pounds. What is the percent error in Chris' estimate?

Solution Steps

The estimated weight is \( 210 \) pounds, and the actual weight is \( 245 \) pounds.

The absolute error is the difference between the actual value and the estimated value: \[ \text{Absolute Error} = |\text{Actual Value} - \text{Estimated Value}| = |245 - 210| = 35 \text{ pounds}. \]

The percent error is calculated using the formula: \[ \text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{Actual Value}} \right) \times 100. \] Substitute the values: \[ \text{Percent Error} = \left( \frac{35}{245} \right) \times 100 \approx 14.2857\%. \] Rounding to four significant digits: \[ \text{Percent Error} \approx 14.29\%. \]

Final Answer