Respuesta :

Given:

The graph represents the number of t shirts and its cost.

The objective is,

i) To find the rate of change of the graph.

ii) To explain the coordinates (0,0) and (1,9).

Explanation:

i)

The coordinates in the graph are (0,0), (1,9), (2,18), (3,27).

The general formula to find the rate of change is,

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

On plugging the coordinates in the above equation,

[tex]\begin{gathered} \Delta r=\frac{9-0}{1-0}=\frac{9}{1} \\ \Delta r=\frac{18-9}{2-1}=\frac{9}{1} \\ \Delta r=\frac{27-18}{3-2}=\frac{9}{1} \end{gathered}[/tex]

Hence, the rate of change for the graph is 9.

ii)

In the graph the data in x-axis represents the number of T-shirts and the data in y-axis represents the cost of T-shirt.

So, the coordinate (0,0) represents that the cost of zero T-shirt is $0.

Similarly the coordinate (1,9) represents that the cost of one T-shirt is $9.

Hence, the cost of each T-shirt is $9.