Question

The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.

Answer 1

Answer:

$17 \le t \le 28$

Step-by-step explanation:

Given

$t = 22\frac{1}{2}$ --- average time

$\triangle t = 5\frac{1}{2}$ --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

$t \± \triangle t$

So, the inequality is:

$22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}$

Solve:

$17 \le t \le 28$