Respuesta :
Answer: A: Expansion
Step-by-step explanation:
Given: A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch.
Thus, the dimension of the image = 24 inch x 30 inch
The dimension of pre-image = 4 inch x 5 inch.
We know that the scale factor of dilation is given by :-
[tex]k=\frac{\text{side length of image}}{\text{side length of corresponding side in pre-image}}\\\\\Rightarrow\ k=\frac{24}{4}=\frac{30}{5}=6[/tex]
Since, k>1, therefore the given dilation is an example of expansion because the dimension of the image is greater than the dimension of pre-image.