Emek and Tara guided their ship toward a research station whose docking platforms were labeled by level relative to the central deck at 0. The available platforms were at -14, -9, -3, 6, and 11, while two others were closed for repairs. A warning from the ship's guidance system said that safe docking was possible only from level -8 through level 8. Tara first ordered the available levels from least to greatest: -14, -9, -3, 6, 11. Comparing each position with the safety limits eliminated -14, -9, and 11, leaving -3 and 6. Both were safe, but the ship was approaching from level 4, so Emek compared their distances from the ship. Level 6 was 2 levels away, while level -3 was 7 levels away. They selected level 6 as the best available platform. Tara entered the coordinate, and the ship moved smoothly into position. Moments later, the docking clamps locked securely.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
The safe range begins at -8, so compare -9 directly with -8.
A student says that level -9 should be considered safe because 9 is only 1 level away from the safety limit of 8. Which statement correctly identifies the mistake?
The student should compare -9 with -8, and -9 is below the safe range.The student should compare -9 with 0, and every negative level is safe.The student should compare 9 with 11 because both are positive distances.The student is correct because distance from 8 determines whether a level is safe.
Correct. Since -9 is less than -8, it lies outside the safe docking range.
Remember that safety depends on whether the signed level lies from -8 through 8, not just on its distance from 8.
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Hint
Find the distance between 4 and -3 by counting across zero.
Suppose the platform at level 6 becomes unavailable, leaving -3 as the only safe available platform. If the ship is still approaching from level 4, how many levels must it travel to reach -3?
Correct. The distance from level 4 to level -3 is 7 levels.
Account for the travel from 4 down to 0 and then from 0 down to -3.
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Hint
First verify that all three levels are safe, then compare each one's distance from level 4.
A new docking platform opens at level -7. The ship is approaching from level 4, and safe docking is still possible only from level -8 through level 8. Which conclusion is correct when comparing the safe available platforms -7, -3, and 6?
Level -7 is best because it has the smallest numerical value.Level -3 is best because negative levels are closer to level 4 than positive levels.Level 6 is best because its distance from 4 is 2, which is less than the distances to -3 and -7.Level -7 is best because its absolute value is closest to 8.
Correct. All three levels are safe, and level 6 is closest to the ship.
Compare the distance from the ship at level 4 to each safe platform, not just the platform values themselves.
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Güvenli Bir Kenetlenme Seviyesi Seçmek
TR
ARC_G07_NUM_02_STORY_03
Güvenli Bir Kenetlenme Seviyesi Seçmek
Choosing a Safe Docking Level
EN
ARC_G07_NUM_02_STORY_03
Choosing a Safe Docking Level