Mike likes to canoe. He can paddle 150 feet per minute. He isplanning a river trip that will take him to a destination about30,000 fett upstream (that is, against the current). The speed ofthe current will work against the speed the he can paddle.
(a.) Let s be the speed of the current in feet per minute. Writean expression for r(s), the speed at which Mike is moving relativeto the river bank, in terms of s.
(b.) Mike wants to know how long it will take him to travel the30,000 feet upstream. Write an expression for T(s), the time inminutes it will take, in terms of s.
(c.) What is the vertical (y) intercept of T? What does thispoint represent in terms of Mike's canoe trip?
(d.) At what value of s does the graph have a verticalasymptote? Explain why this makes sense in the situation.
(e.) For what value of s does T(s) make sense in the context ofthe problem?
Mike likes to canoe. He can paddle 150 feet per minute. He isplanning a river trip that will take him to a destination about30,000 fett upstream (that is, against the current). The speed ofthe current will work against the speed the he can paddle.
(a.) Let s be the speed of the current in feet per minute. Writean expression for r(s), the speed at which Mike is moving relativeto the river bank, in terms of s.
(b.) Mike wants to know how long it will take him to travel the30,000 feet upstream. Write an expression for T(s), the time inminutes it will take, in terms of s.
(c.) What is the vertical (y) intercept of T? What does thispoint represent in terms of Mike's canoe trip?
(d.) At what value of s does the graph have a verticalasymptote? Explain why this makes sense in the situation.
(e.) For what value of s does T(s) make sense in the context ofthe problem?
