Question

Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations? The absolute value equation that models this situation is |x –|=. The two additional water stations will beandmiles from the starting lin

Answer 1

Let x be the distance of the additional water stations from the starting line.
We want on that is 1.5 miles behind the 8-mile water station, and one that is 1.5 miles ahead. The following absolute value function describes x:
|x-1.5| = 8
Two numbers comply: x= 9.5 and 6.5.
The additional water stations will be 6.5 and 9.5 miles from the starting line. 

Answer 2

The correct answers will be

The absolute value equation that models this situation is |x –8|= 1.5

The two additional water stations will be 6.5 and 9.5 miles from the starting line.