Question

Question
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

1.5 inches by 1 inch
1.5 inches by 1 inch

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
Skip to navigation

Answer 1

To find the dimensions that represent a smaller scale drawing of the original photograph (6 inches by 4 inches), we need to ensure that the smaller dimensions maintain the same proportion (or scale) as the original.

The original dimensions are:
- Width: 6 inches
- Height: 4 inches

The ratio of width to height is 6:4 or simplified to 3:2.

Now we will check each option to see if it maintains this 3:2 ratio and is smaller than the original dimensions:

1. **1.5 inches by 1 inch**:
Ratio = 1.5:1 which is 3:2 (This is a smaller version)

2. **2 inches by 1 inch**:
Ratio = 2:1 which is not the same as 3:2 (This does not maintain the ratio)

3. **12 inches by 8 inches**:
Ratio = 12:8 which simplifies to 3:2 (This is larger than the original dimensions)

4. **1 inch by 0.5 inches**:
Ratio = 1:0.5 which is not 3:2 (This does not maintain the ratio)

The only correct option that represents a smaller scale drawing with the same proportion is **1.5 inches by 1 inch**.