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
9
9
6
6
14
The correct answer is 6.
To find the new width in boxes, we can divide the old width in boxes (3) by the ratio of the old scale to the new scale.
The old scale is 1 box = 4 inches and the new scale is 1 box = 2 inches.
So the ratio of the old scale to the new scale is 4/2 = 2.
Dividing the old width (3) by the ratio (2), we get 3/2 = 1.5.
Therefore, the width in boxes of the new drawing will be 1.5.