The amount spent on cable TV per person per year from 2000 through 2015 can be modeled by
A(x) = -0.126x3 + 1.596x2 + 1.802x + 40.93 dollars
where x is the number of years since 2000. Find the year between 2000 and 2015 in which the average amount spent per person per year on cable TV was increasing most rapidly. What was the rate of change of the amount spent per person in that year?
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