2. Walk in the park Suppose you park your car at a trailhead in a national park and begin a 2-hr hike to a lake at 7 A.M. on a Friday morning. On Sunday morning, you leave the lake at 7 A.M. and start the 2-hr hike back to your car. Assume the lake is 3 mi from your car. Let f(t) be your distance from the car t hours after 7 A.M. on Friday morning, and let g(t) be your distance from the car t hours after 7 A.M. on Sunday morning. a. Evaluate f(0), f(2), g(0), and g(2). b. Let h(t) = f(t) – g(t). Find h(0) and h(2). c. Show that there is some point along the trail that you will pass at exactly the same time on both days.
2. Walk in the park Suppose you park your car at a trailhead in a national park and begin a 2-hr hike to a lake at 7 A.M. on a Friday morning. On Sunday morning, you leave the lake at 7 A.M. and start the 2-hr hike back to your car. Assume the lake is 3 mi from your car. Let f(t) be your distance from the car t hours after 7 A.M. on Friday morning, and let g(t) be your distance from the car t hours after 7 A.M. on Sunday morning. a. Evaluate f(0), f(2), g(0), and g(2). b. Let h(t) = f(t) – g(t). Find h(0) and h(2). c. Show that there is some point along the trail that you will pass at exactly the same time on both days.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
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Transcribed Image Text:92. Walk in the park Suppose you park your car at a trailhead in a
national park and begin a 2-hr hike to a lake at 7 A.M. on a Friday
morning. On Sunday morning, you leave the lake at 7 A.M. and
start the 2-hr hike back to your car. Assume the lake is 3 mi from
your car. Let f(t) be your distance from the car t hours after
7 A.M. on Friday morning, and let g(t) be your distance from the
car t hours after 7 A.M. on Sunday morning.
a. Evaluate f(0), f(2), g(0), and g(2).
b. Let h(t) = f(t) – g(t). Find h(0) and h(2).
c. Show that there is some point along the trail that you will
pass
at exactly the same time on both days.
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