25. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow: Time since start (min) 0 15 30 45 60 75 90 Speed (mph) 12 11 10 10 8 70 (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. How often would Jeff have needed to measure Roger's speed in order to find lower and upper es- timates within 0.1 mile of the actual distance he ran?

25. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow: Time since start (min) 0 15 30 45 60 75 90 Speed (mph) 12 11 10 10 8 70 (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. How often would Jeff have needed to measure Roger's speed in order to find lower and upper es- timates within 0.1 mile of the actual distance he ran?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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