Question

Anson estimated he would need 17 hours to complete his science project. He actually needed 19 1 2 19 1 2 hours. What was his percent error? A. 12.8% B. 14.7% C. 87.2% D. 115%

Answer 1

Answer:

The answer is B. 14.7%.

Step-by-step explanation:

Given:

Estimated time need to complete project $17h$.

Actually time needed $19\frac{1}{2}h$=$\frac{39}{2}$h.

Difference between the time $ET-AT$= $\frac{39}{2}- 17\\=\frac{39}{2} -\frac{34}{2}\\ =\frac{5}{2}$$=2.5h$.

So, the percentage error is $\frac{2.5}{17}\times100\\ =\frac{250}{17} \\=14.70%$.

Therefore, the answer is B. 14.7%.

 

Answer 2

Answer:

Option (A)

Anson percent error is 12.8%

Explanation:

Given the approximate value of completion = 17 hours

Exact value of completion = 19.5 hours

Absolute Error = Exact – Approximation  

Absolute Error = 19.5 – 17 = 2.5

% Error =$\frac{\text { Absolute Error }}{\text { Exact Value }} \times 100$

% Error =$\frac{2.5}{19.5} \times 100=12.8 \%$

Therefore, the percent error is 12.8%