Question

1. a teacher in a speech class wants students to give a 5 - minute speech. the teacher will accept speeches that are between 4.5 minutes and 5.5 minutes. what is the percent error for the allowable speech times?

Explanation:

Step1: Find max absolute error

The target time is 5 minutes. The maximum deviation from this target is $\vert 5 - 4.5 \vert = 0.5$ minutes (or $\vert 5 - 5.5 \vert = 0.5$ minutes, both are equal).

Step2: Calculate percent error

Percent error uses the formula $\text{Percent Error} = \frac{\text{Absolute Error}}{\text{Accepted Value}} \times 100\%$. Substitute values:
$\text{Percent Error} = \frac{0.5}{5} \times 100\%$

Answer:

10%