Math help please.

Question

The table shows the total distances of four trails. You want to complete a trail in $1\frac{1}{2}$112​​ hours with an absolute deviation of at most 15 minutes. You hike at a rate of 3 miles per hour. Which trails can you hike? Select all that apply. Then write an absolute value equation

Answer 1

From the information given, the total distance that can be hiked in 1 hour and 30 minutes (90 minutes) with an absolute deviation of 15 minutes is:

$3 \times 1.5 \pm 0.25 = 4.5 \pm 0.25$ miles

The trails that can be hiked are those with total distances between 4.25 and 4.75 miles:

1. Trail A: 4.5 miles
2. Trail C: 4.3 miles

So, the trails that can be hiked are Trail A and Trail C.

The absolute value equation that represents the total distance that can be hiked in 1 hour and 30 minutes with an absolute deviation of 15 minutes is:



$|d - 4.5| \le 0.25$

where d is the total distance of the trail