Question

jonael dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon. at this moment, the sandbag is 75 meters below the balloon. which 2 of the following expressions represents the distance between the sandbag and the target? choose 2 answers: a |-250 + 75| b |-75 + 250| c |250 + 75|

Explanation:

Step1: Define positions

Let the position of the balloon be the reference point \(0\). The target is at \(- 250\) meters (below the balloon) and the sand - bag is at \(-75\) meters (below the balloon).

Step2: Calculate distance formula

The distance \(d\) between two points \(a\) and \(b\) is \(d=\vert a - b\vert\). Here, \(a=-75\) and \(b = - 250\). Then \(d=\vert-75-(-250)\vert=\vert-75 + 250\vert\). Also, \(d=\vert-250-(-75)\vert=\vert-250 + 75\vert\).

Answer:

A. \(\vert-250 + 75\vert\)
B. \(\vert-75 + 250\vert\)