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.t (a) Numerically estimate to the nearest tenth the rate of change of the time for a 14-year-old swimmer to swim 100 meters freestyle. -3.4 seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 14-year-old. (Round your answer to one decimal place.) -102.3 X% per year (of age) (c) Is a 14-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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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.t
(a) Numerically estimate to the nearest tenth the rate of change of the time for a 14-year-old swimmer to swim 100 meters freestyle.
-3.4
seconds per year (of age)
(b) Determine the percentage rate of change of swim time for a 14-year-old. (Round your answer to one decimal place.)
-102.3
X% per year (of age)
(c) Is a 14-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
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.t (a) Numerically estimate to the nearest tenth the rate of change of the time for a 14-year-old swimmer to swim 100 meters freestyle. -3.4 seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 14-year-old. (Round your answer to one decimal place.) -102.3 X% per year (of age) (c) Is a 14-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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