Cody is a professional nature photographer. He takes a photograph of a spider web and prints a copy. The original dimensions of his copy are 12 inches by 8 inches. Cody wants to email a smaller scale drawing of the original photograph to his friends. Which dimensions represent a smaller scale drawing of the original printed photograph? (1 point)
Responses
3 inches by 4 inches
3 inches by 4 inches
10 inches by 6 inches
10 inches by 6 inches
3 inches by 2 inches
3 inches by 2 inches
24 inches by 16 inches
3 inches by 2 inches
explain
To find the smaller scale drawing of the original photograph, we need to reduce the dimensions proportionally.
Original dimensions: 12 inches by 8 inches
Smaller dimensions: x inches by y inches
To reduce the dimensions proportionally, we need to determine the scale factor by dividing the proposed smaller dimensions by the original dimensions:
x/12 = y/8
From the options given:
3/12 = 4/8
10/12 = 6/8
3/12 = 2/8
24/12 = 16/8
3/12 = 4/8 simplifies to 1/4 = 1/2
Therefore, the dimensions 3 inches by 2 inches represent a smaller scale drawing of the original photograph.