Suppose a person wants to travel D miles at a constant speed of (60 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(60 +x)-1. a. Given the linear approximation to T at the point x = 0 is T(x) L(x) =D1- approximate the amount of time it takes to drive 85 miles at 63 mi/hr. b. What is the exact time required? a. The approximate time is min. (Round to the nearest whole number as needed.) b. The exact time required is min. (Round to the nearest hundredth as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Suppose a person wants to travel D miles at a constant speed of (60 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(60 + x) -1.
X
a. Given the linear approximation to T at the point x = 0 is T(x)~ L(x) = D 1
60
approximate the amount of time it takes to drive 85 miles at 63 mi/hr.
b. What is the exact time required?
a. The approximate time is
min. (Round to the nearest whole number as needed.)
b. The exact time required is
min. (Round to the nearest hundredth as needed.)
Transcribed Image Text:Suppose a person wants to travel D miles at a constant speed of (60 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(60 + x) -1. X a. Given the linear approximation to T at the point x = 0 is T(x)~ L(x) = D 1 60 approximate the amount of time it takes to drive 85 miles at 63 mi/hr. b. What is the exact time required? a. The approximate time is min. (Round to the nearest whole number as needed.) b. The exact time required is min. (Round to the nearest hundredth as needed.)
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