Question
Revenues from an electronic device are shown in the table. Let P be the revenue (in millions of dollars) from sales of the device in
Revenues from an electronic device are shown in the table. Let P be the revenue (in millions of dollars) from sales of the device in the year that is t years since 2000. Answer questions a. through e.
Please show all work.
Year. Revenue (in millions of dollars)
2000 1.23
2001 1.08
2002 0.84
2003. 0.79
2004 0.65
a.) Find an approximate equation h(t) = ab^t of the exponential curve that contains the points (0, 1.23) and (4, 0.65).
h(t)=
Find the exponential regression equation.
r(t)=
b.) What is the p-intercept of the graph of r? What does it mean in this situation?
The p-intercept is =
According to the model, r(t), in ______ the revenue from sales of the electronic device was ______ millions of dollars.
c.) Use r to estimate the percentage rate of decay of revenues from the electronic device?.
____%
d.) Use r to estimate the revenue from the electronic device in 2002. Did you perform interpolation or extrapolation?
The revenue from the electronic device in 2002 is approximately _____ millions of dollars.
Did you perform interpolation or extrapolation?
e.) Use r to predict the revenue in 2013.
The revenue in 2013 is approximately ____ millions of dollars.
Did you perform interpolation of extrapolation?
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