Li is a professional nature photographer. She takes a photograph of a spider web and prints a copy. The original dimensions of her copy are 6 inches by 4 inches. Li decides to advertise her business by printing smaller copies of the spider web photograph and emailing them to friends and acquaintances. Which dimensions represent a smaller scale drawing of the original printed photograph?(1 point)

Question

Responses

12 inches by 8 inches
12 inches by 8 inches

1.5 inches by 1 inch
1.5 inches by 1 inch

2 inches by 1 inch
2 inches by 1 inch

1 inch by 0.5 inches

Answer 1

To find smaller scale drawings of the original photograph (6 inches by 4 inches), we need to scale down the dimensions while maintaining the same ratio. The original ratio is \( \frac{6}{4} \) or \( \frac{3}{2} \).

Now, let's analyze the options provided for smaller dimensions:

1. 12 inches by 8 inches: This is not smaller; it's twice the size of the original dimensions.
2. 1.5 inches by 1 inch: The ratio here is \( \frac{1.5}{1} = 1.5 \), which simplifies to \( \frac{3}{2} \), maintaining the same aspect ratio. This is a valid smaller drawing.
3. 2 inches by 1 inch: The ratio here is \( \frac{2}{1} = 2 \), which does not maintain the original aspect ratio of \( \frac{3}{2} \).
4. 1 inch by 0.5 inches: The ratio here is \( \frac{1}{0.5} = 2 \), which also does not maintain the original aspect ratio.

The only option that represents a smaller scale drawing of the original printed photograph while maintaining the correct aspect ratio is:

1.5 inches by 1 inch.