Question

Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 3 units wide, labeled with 7 and 3 respectively.

Scale: 1 box = 4 inches

Ana Maria needs to convert this scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?

(1 point)
Responses

1.5
1.5

14
14

9
9

6

Answer 1

To find the width in boxes of the new drawing when converting the scale from 1 box = 4 inches to 1 box = 2 inches, we can follow these steps:

1. **Determine the actual width in inches** from the original scale:
- Since 1 box = 4 inches and the width in the drawing is 3 boxes,
- Actual width = 3 boxes × 4 inches/box = 12 inches.

2. **Convert the actual width back to boxes** with the new scale:
- With the new scale of 1 box = 2 inches, we need to determine how many boxes correspond to the actual width of 12 inches.
- Number of boxes = Actual width / (new scale in inches per box) = 12 inches / 2 inches/box = 6 boxes.

Therefore, the width in boxes of the new drawing will be **6**.

So the correct response is:

6