Respuesta :
The enlargement of the photo is a dilation transformation involves multiplying each length of the image by a scale factor.
Correct response:
The largest size the image of the photo can be is 8.4 inches by 14 inches
Method by which the above dimension is obtained:
Given:
The given size of the original photo (the preimage) = 3 inches by 5 inches
The dimensions paper on which the image of photo (enlargement) is to be printed = 8.5 inches by 14 inches
Required:
The largest size the phot (image) can be
Solution:
To transformation of the preimage into a larger image, a dilation transformation is required, where the length of each side of the image is a constant multiple of the scale factor and the length of the preimage
Longest side of the preimage = 5 inches
Longest side of the paper = 14 inches
The length of the image obtained using a scale factor of [tex]\displaystyle \frac{14}{5}[/tex] is 14 inches
The width of the image following the enlargement with scale factor [tex]\displaystyle \frac{14}{5}[/tex] is found as follows;
[tex]\displaystyle Width \ of \ the \ image = 3 \times \frac{14}{5} = \mathbf{ 8.4}[/tex]
The width of 8.4 inches of the image will fit into the given paper.
Therefore;
The largest size that the photo can be is 8.4 inch by 14 inches.
Learn more about dilation transformation here:
https://brainly.com/question/8412837
