Find the absolute and relative errors. Round to the nearest tenth as needed

Question

The true distance from your home to your office is 37.6 miles but your odometer reads 38.7 miles

 

Need steps please

 

 

A- Absolute error: 1.1 miles

    Relative error: 2.9%

 

B- Absolute error: -1.1 miles

    Relative error: -2.9%

 

C- Absolute error: 1.1 miles
     Relative error: 0.3%

 

D- Absolute error: 1.1 miles

    Relative error: 2.8%

 

Answer 1

The absolute error is just the difference between your odometer reading and the actual distance, so:

 

38.7 - 37.6 = 1.1 miles

 

The relative error is the errored distance divided by the actual distance minus 1, so:

 

38.7/37.6 - 1 = 0.029 , which we then multiply by 100 to get a percent

 

0.029*100 = 2.9%

 

Since the odometer reading is greater than the actual distance, it is a positive 2.9% relative error.

 

So the final answer is D