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

2 inches by 1 inch
2 inches by 1 inch

12 inches by 8 inches
12 inches by 8 inches

1 inch by 0.5 inches
1 inch by 0.5 inches

1.5 inches by 1 inch

Answer 1

To determine which dimensions represent a smaller scale drawing of the original printed photograph (6 inches by 4 inches), we need to find dimensions that maintain the same aspect ratio while being smaller than the original dimensions.

The original aspect ratio can be calculated as follows:

• Width: 6 inches
• Height: 4 inches
• Aspect Ratio: 6:4 which simplifies to 3:2.

Now, we will check each option to see if it maintains this aspect ratio and is smaller than the original dimensions.

1. 2 inches by 1 inch:

   • Aspect Ratio: 2:1 = 2/1, which is not 3:2.
   • This is smaller and does not maintain the original ratio.

2. 12 inches by 8 inches:

   • Aspect Ratio: 12:8 = 3:2, which matches the original.
   • However, this option is larger than the original dimensions.

3. 1 inch by 0.5 inches:

   • Aspect Ratio: 1:0.5 = 2:1, which is not 3:2.
   • This is smaller and does not maintain the original ratio.

4. 1.5 inches by 1 inch:

   • Aspect Ratio: 1.5:1 = 3:2, which matches the original.
   • This option is smaller than the original dimensions.

From the analysis above, the only option that is smaller than the original dimensions and maintains the same aspect ratio is:

1.5 inches by 1 inch.