Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T teR¹ seconds. A pedestrian walking at a speed of 3.2 ft/s requires t = road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = s to cross the = (32) ew R/3.2° What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 28.09 Incorrect Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.) S.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
Estimate the waiting time if the width is increased to 25 ft and R decreases to 0.19.
(Use decimal notation. Give your answer to two decimal places.)
t
4.24
Incorrect
What is the rate of increase A in waiting time per 1-ft increase in width when w = 28 ft and R = 0.5 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
A =
30.26
Incorrect
Dublick WLLE
Transcribed Image Text:Estimate the waiting time if the width is increased to 25 ft and R decreases to 0.19. (Use decimal notation. Give your answer to two decimal places.) t 4.24 Incorrect What is the rate of increase A in waiting time per 1-ft increase in width when w = 28 ft and R = 0.5 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) A = 30.26 Incorrect Dublick WLLE
Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the
arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at
least t seconds is approximately T = te²¹ seconds. A pedestrian walking at a speed of 3.2 ft/s requires t = 3.2 s to cross the
road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R)
What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
=
(322) ew R/3.2³
S.
t =
28.09
Incorrect
Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft.
(Use decimal notation. Give your answer to two decimal places.)
Af =
6.41
Transcribed Image Text:Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T = te²¹ seconds. A pedestrian walking at a speed of 3.2 ft/s requires t = 3.2 s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) = (322) ew R/3.2³ S. t = 28.09 Incorrect Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.) Af = 6.41
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