Question
Felipe measured an apartment and made a scale drawing. He used the scale 4 millimeters = 10 meters. What scale factor does the drawing use?
Simplify your answer and write it as a ratio, using a colon.
Simplify your answer and write it as a ratio, using a colon.
Answers
GPT-4o mini
To find the scale factor of Felipe's drawing, we can start by looking at the given scale: 4 millimeters = 10 meters.
First, we need to convert 10 meters into millimeters. Since there are 1,000 millimeters in a meter, we can calculate:
10 meters = 10 × 1,000 millimeters = 10,000 millimeters.
Now we can restate the scale using the same units:
4 millimeters = 10,000 millimeters.
To find the scale factor, we put the real measurement over the drawing measurement:
Scale Factor = Real Measurement : Drawing Measurement
Scale Factor = 10,000 mm : 4 mm.
Next, we simplify this ratio. We can divide both sides of the ratio by 4:
10,000 / 4 = 2,500,
4 / 4 = 1.
Thus, the simplified ratio representing the scale factor is:
**2,500 : 1.**
First, we need to convert 10 meters into millimeters. Since there are 1,000 millimeters in a meter, we can calculate:
10 meters = 10 × 1,000 millimeters = 10,000 millimeters.
Now we can restate the scale using the same units:
4 millimeters = 10,000 millimeters.
To find the scale factor, we put the real measurement over the drawing measurement:
Scale Factor = Real Measurement : Drawing Measurement
Scale Factor = 10,000 mm : 4 mm.
Next, we simplify this ratio. We can divide both sides of the ratio by 4:
10,000 / 4 = 2,500,
4 / 4 = 1.
Thus, the simplified ratio representing the scale factor is:
**2,500 : 1.**