Answered

A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch. This is an example of


A: Expansion

B: Contraction

C: Translation

D: Diagram

Verified Answer :

ahall201

It's an expansion because they are expanding the original photograph.

JeanaShupp

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 :-

\(k=\frac{\text{side length of image}}{\text{side length of corresponding side in pre-image}}\\\\\Rightarrow\ k=\frac{24}{4}=\frac{30}{5}=6\)

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.

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