The rise of digital music and the improvement to the DVD format are some of the

Question

The rise of digital music and the improvement to the DVD format are some of the reasons why the average selling price of standalone DVD recorders will drop in the coming years. The function A(t) = 699/(t + 1)^0.94 (0 lessthanorequalto t lessthanorequalto 5) gives the projected average selling price (in dollars) of stand-alone DVD recorders in year t, where t = 0 corresponds to the beginning of 2002. How fast was the average selling price of standalone DVD recorders falling at the beginning of 2002? How fast was it falling at the beginning of 2005? (Round your answers to the nearest cent.) 2002 exist Per year 2005 exist per year

Explanation / Answer

A(t) = 699*(t + 1)^-0.94

A'(t) = -0.94*699*(t + 1)^-0.1.94

A'(t) = -657.06*(t + 1)^-1.94

A.

rate of falling in 2002

In 2002, t = 0

A'(t) = rate of failing of DVD

A'(0) = -657.06*(0 + 1)^-1.94

A'(0) = -$657.06 per year

B.

In 2005, t = 3

A'(3) = -657.06*(3 + 1)^-1.94

A'(3) = -657.06*(4)^-1.94 = -$44.63 per year

Negative sign shows that rate if falling

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