Final answer:
Jim should use a scale factor of 4.25 to enlarge each frame of his favorite comic strip to fit on an 11 inch by 8.5 inch sheet of paper, as it is the smaller scale factor that will maintain the aspect ratio without exceeding the paper dimensions.
Step-by-step explanation:
To find the scale Jim should use to draw each frame of his favorite comic strip on a new sheet of paper, we must consider the size of the original frame and the size of the new sheet. Jim's original comic strip frame is 2.5 inches long by 2 inches wide. He wants to fit it on an 11 inch long by 8.5 inch wide sheet of paper, maintaining the same aspect ratio.
We calculate the scale factor by dividing the dimensions of the new sheet by the dimensions of the original frame:
- For length: 11 inches / 2.5 inches = 4.4
- For width: 8.5 inches / 2 inches = 4.25
Since the scale factor must be the same in both dimensions to preserve the aspect ratio, and we cannot exceed the dimensions of the paper, Jim should use the smaller scale factor to ensure the enlarged frame fits on the paper. Therefore, Jim should use a scale factor of 4.25 to enlarge each frame.