Find the absolute and relative errors.
-The true distance from your home to your office is 33.5 miles but your odometer reads 35.1 miles.
A) absolute error: $- 1.6$ miles
$\text { relative error: }-4.8 \%$

B) absolute error: $1.6$ miles
relative error: $4.6 \%$

C) absolute error: $1.6$ miles
miles relative error: $0.5 \%$

D) absolute error: $1.6$
relative error: $4.8 \%$

Question

Find the absolute and relative errors.
-The true distance from your home to your office is 33.5 miles but your odometer reads 35.1 miles. 
A) absolute error: $- 1.6$ miles
$\text { relative error: }-4.8 \%$

B) absolute error: $1.6$ miles
relative error: $4.6 \%$

C) absolute error: $1.6$ miles
miles relative error: $0.5 \%$

D) absolute error: $1.6$ 
 relative error: $4.8 \%$

Quizplus · Accepted Answer

The absolute error is the difference between the measured value and the true value, which is $35.1 - 33.5 = 1.6$ miles. The relative error is the absolute error divided by the true value, then multiplied by 100 to get a percentage, which is $\frac{1.6}{33.5} \times 100 \approx 4.7761\%$, rounded to $4.8\%$.

Find the Absolute and Relative Errors −1.6- 1.6−1.6 Miles relative error: −4.8%\text { relative error: }-4.8 \% relative error: −4.8%

Find the Absolute and Relative Errors $- 1.6$ Miles $\text { relative error: }-4.8 \%$