Solution:
The question states that Cathy is enlarging a design on the photocopier machine using the 129% setting to increase the dimensions of the design. The original dimensions are given as 3 inches by 6 inches.To find the enlarged dimensions, we need to increase each original dimension by 129%. To do that, you would calculate 129% (which is the same as 1.29 when converted to a decimal) times the original dimensions.For the width: 3 inches * 1.29 = 3.87 inches For the length: 6 inches * 1.29 = 7.74 inches Now, rounding these to the nearest eighth of an inch, since the options are given to the nearest eighth:Width is approximately 3.875 inches (which is 3 7/8 inches when converted to fractions).Length is approximately 7.75 inches (which is 7 3/4 inches when converted to fractions).Therefore, looking at the available options, the size that most closely matches the calculations is:B. 3 7/8 inches by 7 3/4 inches