The tables show information about the scale ratios of two different maps.

Question

2 tables. The first table is a 2-column table with 2 rows titled Map of the United States. Column 1 is labeled Centimeters with entries 3, 12. Column 2 is labeled Miles with entries 50, 200. The second table is a 2-column table with 2 rows titled Map of Africa. Column 1 is labeled Centimeters with entries 2, 15. Column 2 is labeled miles with entries 40, 300.

The ratio of centimeters to miles on the map of the United States is
.
The ratio of centimeters to miles on the map of Africa is
.
The ratio of centimeters to miles on the map of the United States is
the ratio of centimeters to miles on the map of Africa.

Answer 1

To find the ratios of centimeters to miles for both maps, we will calculate the ratio for each pair of values in the respective tables.

Map of the United States

1. For the first entry:

   • Centimeters: 3
   • Miles: 50
   • Ratio: \( \frac{3 \text{ cm}}{50 \text{ miles}} = \frac{3}{50} \)

2. For the second entry:

   • Centimeters: 12
   • Miles: 200
   • Ratio: \( \frac{12 \text{ cm}}{200 \text{ miles}} = \frac{12}{200} = \frac{3}{50} \)

Both ratios are the same, so we can say:

• The ratio of centimeters to miles on the map of the United States is \( \frac{3}{50} \).

Map of Africa

1. For the first entry:

   • Centimeters: 2
   • Miles: 40
   • Ratio: \( \frac{2 \text{ cm}}{40 \text{ miles}} = \frac{2}{40} = \frac{1}{20} \)

2. For the second entry:

   • Centimeters: 15
   • Miles: 300
   • Ratio: \( \frac{15 \text{ cm}}{300 \text{ miles}} = \frac{15}{300} = \frac{1}{20} \)

Both ratios are the same, so we can say:

• The ratio of centimeters to miles on the map of Africa is \( \frac{1}{20} \).

Comparison of Ratios

Now we compare the two ratios:

• Map of the United States: \( \frac{3}{50} \)
• Map of Africa: \( \frac{1}{20} \)

To compare these ratios more easily, we can convert them to a common denominator or go decimal:

• \( \frac{3}{50} = 0.06 \)
• \( \frac{1}{20} = 0.05 \)

Thus, we conclude:

• The ratio of centimeters to miles on the map of the United States is greater than the ratio of centimeters to miles on the map of Africa.

Final Statement

The final statements can be summarized as follows:

• The ratio of centimeters to miles on the map of the United States is \( \frac{3}{50} \).
• The ratio of centimeters to miles on the map of Africa is \( \frac{1}{20} \).
• The ratio of centimeters to miles on the map of the United States is greater than the ratio of centimeters to miles on the map of Africa.