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) Responses 2 inches by 1 inch 2 inches by 1 inch 1 inch by 0.5 inches 1 inch by 0.5 inches 1.5 inches by 1 inch 1.5 inches by 1 inch 12 inches by 8 inches 12 inches by 8 inches

1 answer

To create a smaller scale drawing of the original photograph (6 inches by 4 inches), the dimensions must maintain the same aspect ratio while being smaller in size.

The aspect ratio of the original photograph is 6:4, which can be simplified to 3:2.

Now, let's analyze the provided options to see which dimensions keep this aspect ratio and are smaller than the original:

  1. 2 inches by 1 inch: This simplifies to 2:1 (not the same aspect ratio).
  2. 1 inch by 0.5 inches: This simplifies to 2:1 (not the same aspect ratio).
  3. 1.5 inches by 1 inch: This simplifies to 3:2 (same aspect ratio as the original).
  4. 12 inches by 8 inches: This simplifies to 3:2 (same aspect ratio, but larger than the original).

The only set of dimensions that represents a smaller scale drawing of the original photograph while maintaining the aspect ratio is:

1.5 inches by 1 inch