Question: AGING POPULATION The population of Americans age 55 yr and older as a percentage of the total population is approximated by the function
f(t) = 10.72(0.9t + 10)0.3 (0 ≤ t ≤ 20)
where t is measured in years, with t 0 corresponding to the year 2000. At what rate was the percentage of Americans age 55 and over changing at the beginning of 2000? At what rate will the percentage of Americans age 55 yr and older be changing in 2010? What will be the percentage of the population of Americans age 55 yr and older in 2010?