Question

Cody is a professional nature photographer. He takes a photograph of a spider web and prints a copy. The original dimensions of his copy are 12 inches by 8 inches. Cody wants to email a smaller scale drawing of the original photograph to his friends. Which dimensions represent a smaller scale drawing of the original printed photograph? (1 point) Responses 3 inches by 2 inches 3 inches by 2 inches 10 inches by 6 inches 10 inches by 6 inches 24 inches by 16 inches 24 inches by 16 inches 3 inches by 4 inches

Answer 1

To determine a smaller scale drawing of the original printed photograph (12 inches by 8 inches), we need to find dimensions that maintain the same aspect ratio but are smaller than the original dimensions.

The aspect ratio of the original photograph is 12:8, which simplifies to 3:2.

Let's evaluate the options provided:

1. **3 inches by 2 inches**: This maintains the ratio (3:2) and is smaller than the original dimensions. **This option is valid.**

2. **10 inches by 6 inches**: This also maintains the ratio (3:2) and is smaller than the original dimensions. **This option is valid.**

3. **24 inches by 16 inches**: This also maintains the ratio (3:2) but is larger than the original dimensions. **This option is not valid.**

4. **3 inches by 4 inches**: This has a ratio of 3:4, which does not match the original aspect ratio of 3:2. **This option is not valid.**

The valid smaller scale drawings of the original printed photograph are:

- 3 inches by 2 inches
- 10 inches by 6 inches

Thus, the correct responses are **3 inches by 2 inches** and **10 inches by 6 inches**.