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 19-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 19-year-old. (Round your answer to one decimal place.) % per year (of age) (c) Is a 19-year-old swimmer's time improving or getting worse as the swimmer gets older? * rate of change shows that swim time is ---Select--- The ---Select--- The swimmer's time is ---Select---

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