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

6
6

14
14

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 scale from 1 box = 4 inches to 1 box = 2 inches while keeping the same physical width in inches, you can first find out how many inches the current drawing's width of 3 boxes represents.

  1. Calculate the current width in inches: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

  2. Now, to find out how many boxes this width will represent in the new scale where 1 box = 2 inches: \[ 12 \text{ inches} \div 2 \text{ inches/box} = 6 \text{ boxes} \]

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