Question

deon is riding in a bike race that goes through a valley and a nearby mountain range. the table gives the altitude (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) 1 -133 2 -168 3 3,015 4 1,981 5 509 (a) how much higher is checkpoint 3 than checkpoint 2? ft higher (b) the top of a hill rises 141 feet above checkpoint 2. what is the altitude of the top of the hill? ft

Explanation:

Part (a)

Step1: Identify altitudes

Checkpoint 3 altitude: \( 3015 \) ft, Checkpoint 2 altitude: \( -168 \) ft.

Step2: Calculate difference

Subtract Checkpoint 2's altitude from Checkpoint 3's: \( 3015 - (-168) = 3015 + 168 = 3183 \).

Step1: Identify Checkpoint 2 altitude

Checkpoint 2 altitude: \( -168 \) ft.

Step2: Add rise to Checkpoint 2

Top altitude = \( -168 + 141 = -27 \)? Wait, no—wait, the hill rises 141 ft above Checkpoint 2. Wait, Checkpoint 2 is -168, so top is \( -168 + 141 \)? Wait, no, maybe I misread. Wait, the problem says "the top of a hill rises 141 feet above Checkpoint 2". So altitude of top = Checkpoint 2 altitude + 141. Checkpoint 2 is -168, so \( -168 + 141 = -27 \)? Wait, that can't be. Wait, maybe the table: Checkpoint 2 is -168? Wait, the table: Checkpoint 1: -133, Checkpoint 2: -168, Checkpoint 3: 3015, Checkpoint 4: 1981, Checkpoint 5: 509. Wait, maybe I made a mistake. Wait, "rises 141 feet above Checkpoint 2"—so if Checkpoint 2 is -168, then top is \( -168 + 141 = -27 \)? But that's below sea level? Wait, maybe the problem is "rises 141 feet from Checkpoint 2", so starting at Checkpoint 2's altitude, add 141. So \( -168 + 141 = -27 \). Wait, but let's check again.
Wait, maybe the table has Checkpoint 2 as -168 (feet above sea level, so negative means below). So rising 141 ft from there: \( -168 + 141 = -27 \). So the altitude is -27 ft? Wait, but that seems odd. Wait, maybe I misread the Checkpoint 2 altitude. Let me check the table again: Checkpoint 1: -133, Checkpoint 2: -168, Checkpoint 3: 3015, Checkpoint 4: 1981, Checkpoint 5: 509. Yes. So Checkpoint 2 is -168. So top of hill is 141 ft above Checkpoint 2: \( -168 + 141 = -27 \). So the altitude is -27 ft.

Answer:

3183

Part (b)