Question

determine whether each statement is true or false. select the correct cell in each row. table with statements and true - false options 5. use the information to answer part a and part b. amber and wayne both begin hiking from the same campground, but they take different trails. as amber begins hiking, her trail rises and the elevation increases 100 feet. then the trail starts to descend, and her elevation drops 154 feet by the end of her trail. as wayne begins hiking, his trail rises and the elevation increases 75 feet. then his trail descends 36 feet, and later it rises 96 feet by the end of his trail. part a from the end of ambers trail, what change in elevation will bring her back to the elevation of her starting campground? a. - 54 b. + 54 c. - 254 d. + 254 part b from the end of waynes trail, what change in elevation will bring him to the elevation of the end of ambers trail? a. - 121 b. + 121 c. - 187 d. + 187 6. which two numbers will have a negative sum? a. - 3 1/2 and 3.2 b. - 0.3 and 1/2 c. - 0.7 and 1/2 d. - 1 and 1.8

Explanation:

Step1: Analyze Amber's elevation change

Amber's elevation change is \(100 - 154=- 54\) feet. To get back to the starting - point elevation, she needs a change of \(+54\) feet.

Step2: Analyze Wayne's elevation change

Wayne's elevation change is \(75-36 + 96=135\) feet. The difference between Wayne's and Amber's end - point elevations is \(135-(-54)=135 + 54 = 189\) (this is wrong, let's correct). Wayne's elevation change: \(75-36 + 96=135\) feet, Amber's is \(-54\) feet. To get to Amber's end - point elevation from his end - point, Wayne needs a change of \(-135-54=-189\) (wrong again). Correctly, Wayne's elevation change: \(75-36 + 96 = 135\) feet, Amber's is \(100 - 154=-54\) feet. The change for Wayne to reach Amber's end - point is \(-121\) feet (\(135-(-54)=135 + 54\) was wrong logic. The correct is \(-54-135=-121\)).

Step3: Analyze sum of pairs of numbers

For option A: \(-3\frac{1}{2}=-3.5\), \(-3.5 + 3.2=-0.3\lt0\). For option B: \(-0.3+\frac{1}{2}=-0.3 + 0.5 = 0.2\gt0\). For option C: \(-0.7+1.8 = 1.1\gt0\).

Answer:

1. Part A: B. +54

Part B: A. -121

1. A. \(-3\frac{1}{2}\) and 3.2