A forester has determined that the number of fir trees, N, in a forest can be modeled by the equation N=8000(0.5)^t/5, where 8000 is the estimated number of trees in 2010 and t is the number of years since 2010. Label and scale the axes appropriately. Then, sketch a graph of this equation for the period 2010-2030. Indicate clearly the coordinates of the points you used to construct the graph.

Question

michele_laino · Answer

hint:
we can rewrite your formula as follows:
$$\frac{{N\left( t \right)}}{{{{10}^3}}} = 8{\left( {\frac{1}{2}} \right)^{t/5}}$$
and the axis are:
|dw:1427661455030:dw|

anonymous · Answer

What would 2020 and 2030 be?

michele_laino · Answer

|dw:1427661738233:dw|

anonymous · Answer

I know the point of 2010 is (2010,8000). What would the point be for the years 2020 and 2030?

michele_laino · Answer

the point of 2010, is (2010, 8) since the quantity along the vertical axis is not N, 
but N/1000

michele_laino · Answer

other points are:
t= 2020
N/1000 = 8 * (1/2)^[(2020-2010)/5]=
=8*(1/2)^2=
=8*(1/4) = 2

michele_laino · Answer

|dw:1427662486855:dw|