Josie's GPS shows that she traveled 20 miles in her car. Her car's odometer is slightly off and measures the distance as 24 miles. Josie's GPS shows that she traveled 20 miles in her car. Her car's odometer is slightly off and measures the distance as 24 miles.

Respuesta :

Answer:

20%.

Step-by-step explanation:

We have been given that Josie's GPS shows that she traveled 20 miles in her car. Her car's odometer is slightly off and measures the distance as 24 miles. We are supposed to find the percent error for the given scenario.

[tex]\text{Percent error}=\frac{|\text{Exact}-\text{Approximation}|}{\text{Exact}}\times 100\%[/tex]

[tex]\text{Percent error}=\frac{|20-24|}{20}\times 100\%[/tex]

[tex]\text{Percent error}=\frac{|-4|}{20}\times 100\%[/tex]

[tex]\text{Percent error}=\frac{4}{20}\times 100\%[/tex]

[tex]\text{Percent error}=\frac{4}{1}\times 5\%[/tex]

[tex]\text{Percent error}=20\%[/tex]

Therefore, error percent in distance is 20%.