The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled astx)0.181x -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..-3.4seconds 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.)-102.3x % per year (of age)(c) Is a 14-year-old swimmer's time improving or getting worse as the swimmer gets older?The negativerate of change shows that swim time is decreasingThe swimmer's time is improving

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Asked Oct 7, 2019
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The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as
tx)0.181x -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 negative
rate of change shows that swim time is decreasing
The swimmer's time is improving
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The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as tx)0.181x -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 negative rate of change shows that swim time is decreasing The swimmer's time is improving

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Expert Answer

Step 1

Solving for b part

We know that, the percentage rate of change for the function is the value of t...

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Math

Calculus

Derivative