PLS HELP!!

A graphic designer created a logo on 8 1/2 by 11 inch paper. In order to be placed on a business card, the logo needs to be 1 7/10 by 2 1/5. What is the scale factor of the dilation?

Respuesta :

Answer:

0.2  (compression)

Step-by-step explanation:

Given

Length of paper = 11 inches,

Width of paper = 8 1/2 = 17/2 inches

Length of logo = 2 1/5 = 11/5 inches

Width of logo = 1 7/10 = 17/10 inches

Scale factor based on Length

=Length of Logo ÷ Length of paper

= 11/5 ÷ 11

= 0.2  (since it is less than 1, this is a compression)

(Sanity Check: Check width scale factor = length scale factor)

Scale factor based on width

=Width of Logo ÷ Width of paper

= 16/10 ÷ 17/2

= 0.2  (this is the same as the length scale factor so this checks out ok!)