Proportions & Scale Factors Practice

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Question
Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.

Scale: 1 box = 15 feet

Convert this scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shown is 2 boxes. What will be the width in boxes of the new scale drawing?

(1 point)

3 answers

The ratio of the original scale to the new scale is 15 feet : 5 feet, which simplifies to 3 : 1.

Since the width in the original scale drawing is 2 boxes, we can find the width in the new scale drawing by dividing 2 by the ratio 3:1.

2 / 3 = 0.67

Therefore, the width in the new scale drawing will be approximately 0.67 boxes.
wrong
Apologies for the incorrect answer. Let's try to solve the question again.

The original scale is 1 box = 15 feet. In the new scale, 1 box is equal to 5 feet.

To find the width in the new scale drawing, we need to find the ratio between the new scale and the original scale.

New scale width = (Original scale width) * (New scale ratio / Original scale ratio)

The original scale width is 2 boxes, and the original scale ratio is 15 feet : 1 box. The new scale ratio is 5 feet : 1 box.

New scale width = 2 * (5/15)

Simplifying the expression, we get:

New scale width = 2 * (1/3)

New scale width = 2/3

Therefore, the width in the new scale drawing will be 2/3 of a box.