The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as T(x)=0.018x^2-8.463x+147.376Answer the following

le per year. 20. [-/5 Points] DETAILS LCALCCON5 2.4.007. MY N 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--- V