Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E'(60) = –0.7. (a) What are the units of E'(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving s miles per hour. Find a formula for C(s) in terms of E(s). Calculate C'(60). (c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving s miles per hour Dind o formule for Rle) in torme of Fle) Coleuloto P'(60)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles
per hour. Suppose that E(60) = 40 and E'(60) = –0.7.
(a) What are the units of E'(s)?
(b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving s miles per
hour. Find a formula for C(s) in terms of E(s). Calculate C'(60).
(c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving s miles per
hour. Find a formula for R(s) in terms of E(s). Calculate R'(60).
Transcribed Image Text:Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E'(60) = –0.7. (a) What are the units of E'(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving s miles per hour. Find a formula for C(s) in terms of E(s). Calculate C'(60). (c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving s miles per hour. Find a formula for R(s) in terms of E(s). Calculate R'(60).
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