Question

Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.

To the nearest tenth of a percent, what is the percent error in Mark's estimate? PLEASE ANSWER THIS IN A HURRY

Answer 1

So the error is 1 mile

I ask what % of 15.5 = 1

How you write this;

x/100 *15.5 = 1

15.5x = 100

x = 100/15.5

x = 6.451629 round up 6.45

% error is 6.45 %

Answer 2

6.9%.

Explanation:

From the given information it is clear that

Estimated distance from Mark's house to his school = 15.5 mi

Actual distance = 14.5 mi.

We need to find the percent error in Mark's estimate.

`\text{Percent error}=\frac{\text{Estimated Distance - Actual Distance}}{\text{Actual Distance}}* 100`

`\text{Percent error}=(15.5-14.5)/(14.5)* 100`

`\text{Percent error}=(1)/(14.5)* 100`

`\text{Percent error}=(100)/(14.5)`

`\text{Percent error}=6.8965517`

Round the percent to the nearest tenth.

`\text{Percent error}\approx 6.9`

Therefore, the percent error is 6.9%.