The rise of digital music and the improvement to the DVD format are part of the reasons why the average selling price of standalone DVD recorders will drop in the coming years. The function below gives the projected average selling price (in dollars) of standalone DVD recorders in year t, where t = 0 corresponds to the beginning of 2002.†
A(t)=699/(t+1)^0.94
What was the average selling price of standalone DVD recorders at the beginning of 2004? At the beginning of 2005? (Round your answers to the nearest dollar.)
2004 $ ?
2005 $ ?
For 2004 t is 2 and sub it into the equation and 2005 t is 3.
96x3
To find the average selling price of standalone DVD recorders at the beginning of 2004 and 2005, we can plug in the respective values of t into the function A(t)=699/(t+1)^0.94.
To find the average selling price at the beginning of 2004, t would be equal to 2004-2002 = 2.
A(2) = 699/(2+1)^0.94
= 699/3^0.94
Using a calculator, we can evaluate this expression to get the approximate value.
A(2) ≈ 699/2.8284
≈ 247.09
Therefore, the average selling price of standalone DVD recorders at the beginning of 2004 is approximately $247.
To find the average selling price at the beginning of 2005, t would be equal to 2005-2002 = 3.
A(3) = 699/(3+1)^0.94
= 699/4^0.94
Using a calculator, we can evaluate this expression to get the approximate value.
A(3) ≈ 699/3.7798
≈ 184.99
Therefore, the average selling price of standalone DVD recorders at the beginning of 2005 is approximately $185.