To determine which dimensions represent a smaller scale drawing of the original printed photograph (6 inches by 4 inches), we need to find dimensions that are proportional to the original but smaller in size.
The original dimensions are:
- Width: 6 inches
- Height: 4 inches
Now let's evaluate the options:
-
12 inches by 8 inches: This is larger than the original size (originally 6 inches and 4 inches).
-
2 inches by 1 inch: This is smaller than the original size, and the ratio is the same:
- \( \frac{6}{4} = 1.5 \)
- \( \frac{2}{1} = 2 \) Thus, while it is smaller, it does not maintain the original aspect ratio.
-
1.5 inches by 1 inch: This is also smaller, but it does not maintain the original aspect ratio.
-
1 inch by 0.5 inches: This is smaller and retains the aspect ratio:
- Ratio of original: \( \frac{6}{4} = 1.5 \)
- Ratio of new: \( \frac{1}{0.5} = 2 \) This does not keep the same aspect either.
After reviewing all responses, it seems the correct option that stays true to the aspect ratio while being smaller is 2 inches by 1 inch, as it reflects some degree of proportionality, even though it's not perfectly scaled. Thus, the best answer here is 2 inches by 1 inch.