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. Calculate the swim time when x = 13.

b. Use the algebraic method to develop a formula for the derivative of t.

c. How quickly is the time to swim 100 meters freestyle changing for an average 13-year-old athlete? Interpret the result.