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

The answer is B. 14.7%.

Step-by-step explanation:

Given:

Estimated time need to complete project
`17h`.

Actually time needed
`19(1)/(2)h`=
`(39)/(2)`h.

Difference between the time
`ET-AT`=
`(39)/(2)- 17\\=(39)/(2) -(34)/(2)\\ =(5)/(2)`
`=2.5h`.

So, the percentage error is
`(2.5)/(17)*100\\ =(250)/(17) \\=14.70%`.

Therefore, the answer is B. 14.7%.

Answer 2

Option (A)

Anson percent error is 12.8%

Step-by-step 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 }} * 100`

% Error =
`(2.5)/(19.5) * 100=12.8 \%`

Therefore, the percent error is 12.8%