3. The elevation of a hiker (in hundreds of feet) t hours after she starts a hike is given by the function f(t) = t* – 9t³ + 23t² – 15t + 20 for the five hour hike. (a) What is the hiker's elevation when the hike begins? (b) When will the hiker's elevation be over 2000 feet? (c) What is the highest elevation reached by the hiker? When does she reach it?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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3. The elevation of a hiker (in hundreds of feet) t hours after she starts a hike is given by the function
(e) What does the function say will happen if the hiker continues on this path forever?
f(t) = t* – 9t³ + 23t? – 15t + 20 for the five hour hike.
(a) What is the hiker's elevation when the hike begins?
(b) When will the hiker's elevation be over 2000 feet?
(c) What is the highest elevation reached by the hiker? When does she reach it?
(d) What is the lowest elevation reached by the hiker? When does she reach it?
Transcribed Image Text:3. The elevation of a hiker (in hundreds of feet) t hours after she starts a hike is given by the function (e) What does the function say will happen if the hiker continues on this path forever? f(t) = t* – 9t³ + 23t? – 15t + 20 for the five hour hike. (a) What is the hiker's elevation when the hike begins? (b) When will the hiker's elevation be over 2000 feet? (c) What is the highest elevation reached by the hiker? When does she reach it? (d) What is the lowest elevation reached by the hiker? When does she reach it?
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