Swim Time The time it takes an average athlete to swim 100 meters freestyle at age x...

Swim Time The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as

(Source: Based on data from Swimming World, August 1992)

a. Numerically estimate to the nearest tenth the rate of change of the time for a 13-year-old swimmer to swim 100 meters freestyle.

b. Determine the percentage rate of change of swim time for a 13-year-old.

c. Is a 13-year-old swimmer’s time improving or getting worse as the swimmer gets older?