Question 485825
Annual Sales (in millions of units) of PC are expected to grow in accordance with the rate of f(t)=0.18t^2 + 0.16t + 2.64 ; (0<=t<=6) where t is measured in years with t=0 corresponding to year 1997. How many PC will be sold over the 6 year period between the beginning of 1997 and the end of 2002?


{{{f(t) = .018t^2 + 0.16t + 2.64}}}


Since years are represented by "t," the amount of years, or "t," from beginning of 1997 and end of 2002 is 6.


Substituting 6 for "t" in the equation, we get: {{{f(6) = 0.18(6)^2 + 0.16(6) + 2.64}}} ---- {{{f(6) = 0.18(36) + 0.16(6) + 2.64}}} ---- {{{f(6) = 6.48 + 0.96 + 2.64}}} ---- f(6), or over a 6-year period, {{{highlight_green(10.08)}}} million units will be sold.