To determine the correct smaller scale drawing of the original photograph, we need to maintain the same aspect ratio as the original dimensions, which are 6 inches by 4 inches.
The aspect ratio is given by dividing the width by the height:
\[ \text{Aspect Ratio} = \frac{\text{Width}}{\text{Height}} = \frac{6}{4} = \frac{3}{2} \]
Now let's check the potential options one by one to see which ones maintain this ratio:
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1.5 inches by 1 inch: \[ \frac{1.5}{1} = 1.5 \quad \text{(not equal to } \frac{3}{2}) \]
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2 inches by 1 inch: \[ \frac{2}{1} = 2 \quad \text{(not equal to } \frac{3}{2}) \]
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1 inch by 0.5 inches: \[ \frac{1}{0.5} = 2 \quad \text{(not equal to } \frac{3}{2}) \]
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12 inches by 8 inches: \[ \frac{12}{8} = \frac{3}{2} \quad \text{(equal to } \frac{3}{2}) \]
Based on this analysis, the only set of dimensions that represent a smaller scale drawing of the original photograph (while keeping the same aspect ratio) is 12 inches by 8 inches. However, this is larger than the original photograph.
On the other hand, if we were to find smaller sizes while maintaining the 3:2 ratio, we could take smaller scales of 6, 4 (like 3, 2, or even 1.5, 1), but none of those are options provided.
Since none of the listed smaller sizes maintain the original aspect ratio as required, none of the options given are correct for a smaller scale drawing containing the same aspect ratio.
The only answer that fits the requirements, although presented inaccurately, is the 12 inches by 8 inches if we're discussing a larger drawing contrary to the request of smaller.