Question

A student has a container with a volume of 1.5 liters. She estimates the volume to be 2.1 liters. By what percent is the​ student's estimate​ off?

Answer 1

the percentage is 20% by the student’s estimate

Answer 2

40% (high)

Explanation:

You want to know the percentage error when an actual value of 1.5 L is estimated to be 2.1 L.

Error

The percentage error is given by ...

(percent error) = (estimate/actual - 1) × 100%

percent error = (2.1/1.5 -1) × 100%

= (1.40 -1.00) × 100% = 0.40 × 100%

= 40%

The student's estimate is 40% too high.