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

1 answer

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.