Question

A photographer enlarged a picture. If the width of the image is 5 inches and the width of the pre-image was x, what is the scale factor for the dilation in terms of x?

Answer 1

Answer:
`k=(x)/(5)`

Explanation:

The width of the pre-image = x

The width of the image= 5 inches

Let 'k' be the scale factor for the dilation.

We know that after dilation, the dimensions of pre-image multiply with scale factor to get the dimension of the image.

It gives,

`5k=x\\\Rightarrow\ k=(x)/(5)`

Hence, the scale factor should be
`k=(x)/(5)`