Kyle and John are twins who decided to plan an imaginary trip that started with cliff jumping. There were two different spots to attempt a jump. Kyle took the spot 20 ft above the water. John jumped from the lower elevation, at 15 ft above the water.

(a) Kyle jumped from his starting point and went 15 ft below the surface of the water. Represent the starting point and the ending point as integers. What is the total distance he traveled? Explain how you got your answer.

(b) John jumped and went 10 ft below the surface of the water. Represent the starting point and the ending point as integers. What is the total distance he traveled? Explain how you got your answer.

(c) How much farther did Kyle travel than John? Use a number line to show how you got your answer.

(d) While at the cliff, the twins decided to compete to see who could travel the most distance from the cliff to the water when they jumped. John jumped at three different places above the water: from a height of 15 ft, 16 ft, and 18 ft. Kyle’s first two jumps started at 20 ft and 14 ft above the water. From what height will Kyle’s third jump have to be in order to tie with John? Explain how you got your answer.