Explanation Given: Speed limit between home and stop sign 1 mile away is 35 mile per hour . Speed limit between stop sign and friend’s home is 65 mile per hour . While driving back, all the traffic laws are obeyed. Calculation: The graph of distance S is a straight line with slope 35 till the stop sign then the slop increase and becomes 65 . In return trip, initially the slope is 65 till the stop sign, afterwards the slope is 35 . The distance graph is given by, Figure ( 1 ) The velocity is constant up till the stop sign; that is 35 and then from stop sign to friend’s home the constant velocity is 65 . In return trip from friend’s home to stop sign, again the velocity is constant at 65 and then from stop sign till home it is constant at 35

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Chapter 6.2, Problem 15E

To determine

To sketch:

The graphs of S=S(t), V=V(t), and A=A(t).

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Chapter 6.2, Problem 14E

Chapter 6.2, Problem 16E

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mile due west of a street intersection. Another car is located 8. mile 4. A police car is at rest and is located north of the intersection and is traveling at a speed of 40 miles per hour (mph) due south toward the intersection. At that instant, the radar in the police car records the rate at which the distance between the two cars is changing. What speed is recorded by the radar? 35.8 mph 38.8 mph 41.2 mph 44.2 mph 53.7 mph 0 0

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Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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