Question

lThe number of VHS movie rentals has declined since year 2000 due to the popularity of DVDs, as the following table shows. Decide which scatterplot is representative of the data and determine if the data would be better modeled by a linear model or by an exponential model.

Answer 1

the answer is

a. Graph A, Exponential

Answer 2

For this case, the first thing we must do is to graph the following ordered pairs in the Cartesian plane:

2000 10.5
2001 8.1
2002 6.3
2003 5.5
2004 4.1
2005 3.8
2006 3.1

Then, we must observe the behavior of the graph, to determine if the function is linear or exponential.
For this case, we observe that the trend is a decreasing exponential function, since, the rate of change of the function is not constant.

Answer:
Decreasing exponential function
See attached image.