Li is a professional 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 represents a smaller scale drawing of the original printed photograph?

Question

Li is a professional 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 represents a smaller scale drawing of the original printed photograph? 
A. 1 inch by 0.5 inches 
B. 2 inches by 1 inch
C. 12 inches by 8 inches
D. 1.5 inches by 1 inch

GPT-4o mini · Answer

To find smaller scale drawings of the original photograph dimensions of 6 inches by 4 inches, the new dimensions must be proportional and each dimension must be less than the original.

Let's evaluate the options:

A. 1 inch by 0.5 inches

This is smaller than the original dimensions and maintains the same ratio (1:2), which is half of the original.

B. 2 inches by 1 inch

This is also smaller than the original dimensions and maintains the same ratio (1:2), which is one-third of the original.

C. 12 inches by 8 inches

This is larger than the original dimensions (it actually doubles both dimensions), so it is not a smaller scale drawing.

D. 1.5 inches by 1 inch

This is smaller than the original dimensions, but it doesn't maintain the original aspect ratio (the ratio is 1.5:1 instead of 3:2).

Based on these evaluations, options A (1 inch by 0.5 inches) and B (2 inches by 1 inch) are valid smaller scale drawings. However, since the question typically asks for only one option that is a smaller scale drawing, you can choose either. The most reduced dimensions are:

A. 1 inch by 0.5 inches.