In the graph shown, we shall determine which ratio determines the dilation by first of all pinpointing the coordinates of each point. The points are not named so, for the sake of explantion we shall call the first by the left point A, the one at the top poin B, and the one by the right point C.
Point A is located at (4, 5), point B at (5, 10) and point C at (10, 6).
When you observe the points on the graph where the corresponding points are located, you'll see poin A' at (1.2, 1.5).
**Note that the coordinates are read as
A (4, 5) when x = 4, then y = 5 and so on
Similarly, point B' is located at (1.2, 3)
Point C' is located at (3, 1.8)
The ratio that makes this dilation possible is given as 3/10 * x and 3/10 * y.
That is, multiply the x coordinate by 3/10 to get the point where the dilated image is located. Hence, all corresponding points are derived by multiplying each coordinate by 3/10
The correct option is B