On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart. What scale could be shown on the map? Select three options. 0.25 centimeter = 3 kilometers 0.4 centimeter = 8 kilometers 0.75 centimeter = 15 kilometers 3 centimeters = 60 kilometers 6 centimeters = 144 kilometers

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. In this case, the map distance is 0.75 centimeters and the actual ground distance is 15 kilometers.

To find the scale, we divide the actual distance by the map distance.

15 kilometers / 0.75 centimeters = 20 kilometers per centimeter

Now, we need to find the scales that are equivalent to 20 kilometers per centimeter.

1. 0.25 centimeter = 3 kilometers This scale is equivalent to 12 kilometers per centimeter (3 km / 0.25 cm), so this is not a correct option.

2. 0.4 centimeter = 8 kilometers This scale is equivalent to 20 kilometers per centimeter (8 km / 0.4 cm), so this is a correct option.

3. 0.75 centimeter = 15 kilometers This scale is equivalent to 20 kilometers per centimeter (15 km / 0.75 cm), so this is a correct option.

4. 3 centimeters = 60 kilometers This scale is equivalent to 20 kilometers per centimeter (60 km / 3 cm), so this is a correct option.

5. 6 centimeters = 144 kilometers This scale is equivalent to 24 kilometers per centimeter (144 km / 6 cm), so this is not a correct option.

So, the three options that could be shown on the map are:

0.4 centimeter = 8 kilometers 0.75 centimeter = 15 kilometers 3 centimeters = 60 kilometers