Question

dante is riding in a bike race that goes through a valley and a nearby mountain range. the table gives the altitudes (in feet above sea level) for the five checkpoints in the race. use the table to answer the questions. checkpoint altitude (feet above sea level) checkpoint 1 -189 checkpoint 2 0 checkpoint 3 -104 checkpoint 4 1759 checkpoint 5 2330 (a) which checkpoint is the farthest below sea level? ∘ checkpoint 1 ∘ checkpoint 2 ∘ checkpoint 3 ∘ checkpoint 4 ∘ checkpoint 5 (b) which checkpoint is the farthest above sea level? ∘ checkpoint 1 ∘ checkpoint 2 ∘ checkpoint 3 ∘ checkpoint 4 ∘ checkpoint 5 (c) what does it mean for a checkpoint to have an altitude of 0 feet? ∘ it is at sea level. ∘ it is above sea level. ∘ it is below sea level.

Explanation:

Part (a)

Step1: Understand negative altitude meaning

Negative altitude means below sea level. We compare the absolute values of negative altitudes.
Checkpoint 1: \(|-189| = 189\), Checkpoint 3: \(|-104| = 104\). Since \(189>104\), Checkpoint 1 has a larger absolute negative value, so it's farther below sea level.

Step1: Compare positive altitudes

Positive altitudes are above sea level. Checkpoint 4: \(1759\), Checkpoint 5: \(2330\). Since \(2330 > 1759\), Checkpoint 5 is farther above sea level.

Step1: Recall altitude definition

An altitude of 0 feet means the checkpoint is at the same level as sea level, as sea level is the reference (0 feet above sea level).

Answer:

A. Checkpoint 1

Part (b)