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-............... ...................... .. .............................................................. ............ A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles (a) Does y = 25x OA represent y in terms of x for the context of this problem? O Yes No (b) Determine the vertical and horizontal asymptotes of the graph of the function. vertical asymptote X = 25 horizontal asymptote y = 25 (c) Use a graphing utility to graph the function. Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 75 100 125 150 30 40 50 60 Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 100 150 200 20 40 60 80 100

-............... ...................... .. .............................................................. ............ A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles (a) Does y = 25x OA represent y in terms of x for the context of this problem? O Yes No (b) Determine the vertical and horizontal asymptotes of the graph of the function. vertical asymptote X = 25 horizontal asymptote y = 25 (c) Use a graphing utility to graph the function. Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 75 100 125 150 30 40 50 60 Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 100 150 200 20 40 60 80 100

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
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A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles per hour, respectively. 25x (a) Does y = represent y in terms of x for the context of this problem? X - 25 Yes No (b) Determine the vertical and horizontal asymptotes of the graph of the function. vertical asymptote X = 25 horizontal asymptote y = 25 (c) Use a graphing utility to graph the function. Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 60 50 75 100 125 150 30 40 50 Avg. Speed Returning Avg. Speed Returning 200| 200| 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 100 150 200 20 40 60 80 100
Transcribed Image Text:A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles per hour, respectively. 25x (a) Does y = represent y in terms of x for the context of this problem? X - 25 Yes No (b) Determine the vertical and horizontal asymptotes of the graph of the function. vertical asymptote X = 25 horizontal asymptote y = 25 (c) Use a graphing utility to graph the function. Avg. Speed Returning 200 Avg. Speed Returning 200 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 60 50 75 100 125 150 30 40 50 Avg. Speed Returning Avg. Speed Returning 200| 200| 150 150 100 100 50 50 Avg. Speed Going Avg. Speed Going 50 100 150 200 20 40 60 80 100
(d) Complete the table. (Round your answers to the nearest whole number.) 30 35 40 45 50 55 60 y (e) Are the results in the table what you expected? Yes No (f) Is it possible to average 20 miles per hour in one direction and still average 50 miles per hour on the round trip? Yes No Explain. At 20 miles per hour you would use more time in one direction than is required for the round trip at an average speed of 50 miles per hour. At 20 miles per hour you would simply have to drive faster in the other direction to average 50 miles per hour on the round trip.
Transcribed Image Text:(d) Complete the table. (Round your answers to the nearest whole number.) 30 35 40 45 50 55 60 y (e) Are the results in the table what you expected? Yes No (f) Is it possible to average 20 miles per hour in one direction and still average 50 miles per hour on the round trip? Yes No Explain. At 20 miles per hour you would use more time in one direction than is required for the round trip at an average speed of 50 miles per hour. At 20 miles per hour you would simply have to drive faster in the other direction to average 50 miles per hour on the round trip.
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