Question

Christopher estimates it will take him half an hour to complete his math homework. He is able to complete it in 25 minutes. What is the percent error in his estimate?

Answer 1

Answer:

The percent error in his estimate is 16.67%.

Step-by-step explanation:

Given:

Christopher estimates it will take him half an hour to complete his math homework.

He is able to complete it in 25 minutes.

Now, to find the percent error  in his estimate.

Time estimates of completing homework = 30 minutes.

Time actual taken to complete homework = 25 minutes.

Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.

Error in estimate = 30 minutes - 25 minutes.

Error in estimate = 5 minutes.

Now, to get the percent error:

$Percent\ error =\frac{Error\ in\ estimate}{Time\ estimates\ of\ completing\ homework} \times 100.$

$Percent\ error=\frac{5}{30} \times 100$

$Percent\ error=\frac{500}{30}$

$Percent\ error=16.67\%.$

Therefore, the percent error in his estimate is 16.67%.