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) = D time it takes to drive 78 miles at 61 mi/hr. b. What is the exact time required? 60 use L(x) to approximate the amount of a. The approximate time is min. (Round to the nearest whole number as needed.)

College Algebra
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Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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)
X
a. Given the linear approximation to T at the point x = 0 is T(x) L(x) =D 1-
time it takes to drive 78 miles at 61 mi/hr.
60
use L(x) to approximate the amount of
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) X a. Given the linear approximation to T at the point x = 0 is T(x) L(x) =D 1- time it takes to drive 78 miles at 61 mi/hr. 60 use L(x) to approximate the amount of 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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