Respuesta :

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

[tex]x_1 = 2009;\ y_1 = 10,002[/tex]

[tex]x_2 = 2013;\ y_2 = 17,884[/tex]

The rate of change is calculate as follows;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{10002 - 17884}{2009 - 2013}[/tex]

[tex]m = \frac{-7882}{-4}[/tex]

[tex]m = \frac{-7882}{-4}[/tex]

[tex]m = 1970.5[/tex]

Hence, the average rate of change is 1970.5 thousand