The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds.† (a) Numerically estimate to the nearest tenth the rate of change of the time for a 15-year-old swimmer to swim 100 meters freestyle seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 15-year-old. (Round your answer to one decimal place.) % per year (of age) (c) Is a 15-year-old swimmer's time improving or getting worse as the swimmer gets older? The ---Select--- rate of change shows that swim time is ---Select--- . The swimmer's time is ---Select---
The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds.† (a) Numerically estimate to the nearest tenth the rate of change of the time for a 15-year-old swimmer to swim 100 meters freestyle seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 15-year-old. (Round your answer to one decimal place.) % per year (of age) (c) Is a 15-year-old swimmer's time improving or getting worse as the swimmer gets older? The ---Select--- rate of change shows that swim time is ---Select--- . The swimmer's time is ---Select---
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as
t(x) = 0.181x² - 8.463x + 147.376 seconds.†
(a) Numerically estimate to the nearest tenth the rate of change of the time for a 15-year-old swimmer to swim 100 meters freestyle
seconds per year (of age)
(b) Determine the percentage rate of change of swim time for a 15-year-old. (Round your answer to one decimal place.)
% per year (of age)
(c) Is a 15-year-old swimmer's time improving or getting worse as the swimmer gets older?
The ---Select--- rate of change shows that swim time is ---Select--- . The swimmer's time is ---Select---
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