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 83 miles at 57 mi/hr. b. What is the exact time required? ... a. The approximate time is min. (Round to the nearest whole number as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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 83 miles at 57 mi/hr.
b. What is the exact time required?
...
a. The approximate time is
min. (Round to the nearest whole number 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 83 miles at 57 mi/hr. b. What is the exact time required? ... a. The approximate time is min. (Round to the nearest whole number as needed.)
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