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

14
14

6
6

1.5
1.5

9

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To convert the width from the original scale to the new scale, we first need to determine the actual width of the rectangle in inches at the original scale.

Given that the width in the drawing is 3 boxes, and the scale is 1 box = 4 inches, the actual width is: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

Now, we need to convert this actual width to boxes at the new scale of 1 box = 2 inches. To do that, we divide the actual width in inches by the new scale: \[ \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]

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