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 14-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 14-year-old. (Round your answer to one decimal place.) % per year (of age) (c) Is a 14-year-old swimmer's time improving or getting worse as the swimmer gets older? TheSelect rate of change shows that swim time is -Select . The swimmer's time is --Select

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A: please see the attachment

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