After a rest of 20 minutes the hikers ascend into a steep climb, still following the trajectory of h(x)=0.1(x-100)² + 20. They reach a place where the route becomes noticeably less steep. At this point the trail followed could be described by M(x) = In(x-119.4) +60. The hikers continue to ascend at a moderate gradient; they then reach the highest point on the trail where they find a lookout point from which they could see the whole area. After a good rest and a picnic the hikers continue on a downhill descend to sea level, following a path described by t(x) =-(x÷3)+ 120.5. 1.Read off the horisontal distance covered from the initial departure point when they reach the lookout point. 2.Read off the altitude at the lookout point. 3.Read off the horizontal distance covered at the end of the trail.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
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 After a rest of 20 minutes the hikers ascend into a steep climb, still following the trajectory of h(x)=0.1(x-100)² + 20. They reach a place where the route becomes noticeably less steep. At this point the trail followed could be described by M(x) = In(x-119.4) +60. The hikers continue to ascend at a moderate gradient; they then reach the highest point on the trail where they find a lookout point from which they could see the whole area. After a good rest and a picnic the hikers continue on a downhill descend to sea level, following a path described by t(x) =-(x÷3)+ 120.5.

1.Read off the horisontal distance covered from the initial departure point when they reach the lookout point.

2.Read off the altitude at the lookout point. 3.Read off the horizontal distance covered at the end of the trail.

4.Calculate (with reasons) the distance of the part of the trail described by t(x)=-(x÷3)+120.5.

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