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

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

2 inches by 1 inch

Answer 1

To find a smaller scale drawing of the original photograph, we need to look for dimensions that are proportional to the original dimensions of 6 inches by 4 inches while being smaller in size.

The original dimensions can be expressed as a ratio:

6 inches (width) : 4 inches (height) = 3 : 2

Now we can analyze each of the provided options to see which maintains the same ratio and is smaller than the original dimensions:

1. 1 inch by 0.5 inches:

   • Ratio = 1 : 0.5 = 2 : 1 (not proportional)

2. 1.5 inches by 1 inch:

   • Ratio = 1.5 : 1 = 3 : 2 (proportional and smaller)

3. 12 inches by 8 inches:

   • Ratio = 12 : 8 = 3 : 2 (proportional, but larger than the original)

4. 2 inches by 1 inch:

   • Ratio = 2 : 1 (not proportional)

The only option that maintains the same ratio of 3:2 and is smaller than the original dimensions (6 inches by 4 inches) is 1.5 inches by 1 inch.

So, the correct answer is: 1.5 inches by 1 inch.