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) ∣250+75∣(C) ∣−75+250∣
Q. 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) ∣250+75∣(C) ∣−75+250∣
Understand the problem: Understand the problem.We need to find the expressions that represent the distance between the sandbag and the target. The sandbag is currently 75 meters below the balloon, and the target is 250 meters below the balloon.
Determine the distance: Determine the distance between the sandbag and the target.The distance from the sandbag to the target is the difference between the distance from the balloon to the target and the distance from the balloon to the sandbag.Distance = Distance from balloon to target − Distance from balloon to sandbagDistance =250 meters −75 metersDistance =175 meters
Express using absolute value: Express the distance using absolute value notation.Since distance is always positive, we can use absolute value notation to ensure the expression is non-negative. We need to find two expressions that correctly calculate the distance as 175 meters.
Evaluate given options: Evaluate the given options.Option A: ∣−250+75∣=∣−175∣=175 metersOption B: ∣250+75∣=∣325∣=325 meters (This is not the correct distance)Option C: ∣−75+250∣=∣175∣=175 meters
Choose correct expressions: Choose the correct expressions.The correct expressions that represent the distance between the sandbag and the target are those that equal 175 meters. From our evaluation in Step 4, we see that Options A and C are correct.