Answers:
a) Rate of change = -0.006
b) The rate of change shows that every time we add 1 meter to the altitude, the temperature will decrease 0.006 °C
c) Range = [13, 25]
Explanation:
The rate change between two points can be calculated as:
[tex]\text{rate}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x1, y1) and (x2, y2) are the endpoints. So replacing (x1, y1) by (200, 25) and (x2, y2) by (2200, 13), we get:
[tex]\text{rate}=\frac{13-25}{2200-200}=\frac{-12}{2000}=-0.006[/tex]
So, the rate of change is -0.006
The rate of change shows that every time we add 1 meter to the altitude, the temperature will decrease 0.006 °C
Finally, the range of the graph is the set of all possible values that the temperature can take. So, the range is the set of numbers between 13 and 25°C
