SOLUTION: 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 correspo

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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?
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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%28t%29+=+.018t%5E2+%2B+0.16t+%2B+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%286%29+=+0.18%286%29%5E2+%2B+0.16%286%29+%2B+2.64 ---- f%286%29+=+0.18%2836%29+%2B+0.16%286%29+%2B+2.64 ---- f%286%29+=+6.48+%2B+0.96+%2B+2.64 ---- f(6), or over a 6-year period, highlight_green%2810.08%29 million units will be sold.