Question

Austin estimates that the distance from his house to his work is 13.5 mi. The actual distance is 14.5 mi. To the nearest tenth of a per cent, what is the per cent error in Austin's estimate? A: 6.9% B: 1% C: 0.68%

Answer 1

The percent error in Austin's estimate is approximately 6.9%.

Step-by-step explanation:

To find the percent error in Austin's estimate, we can use the formula:

Percent Error = (|Actual Value - Estimated Value| / Actual Value) * 100

Given that the actual distance is 14.5 mi and the estimated distance is 13.5 mi, we can plug these values into the formula:

Percent Error = (|14.5 - 13.5| / 14.5) * 100 = (1 / 14.5) * 100 ≈ 6.9%

Therefore, the per cent error in Austin's estimate is approximately 6.9%, which rounds to option A.