On a map of Chicago, 1cm represents 100m. Select all statements that express the same scale. A. 5cm on the map represents 50m in Chicago. B. 1mm on the map represents 10m in Chicago. C. 1km in Chicago is represented by 10cm on the map. D. 100cm in Chicago is represented by 1m on the map.

Answers: The statement that express the same scale are Options B and C.

Solution:

A. 5 cm on the map represents 50 m in Chicago?

Rule of three:

1 cm represents 100 m

5 cm represents x

x = (5 cm). (100 m) / (1 cm)

x=500 m

5 cm on the map represents 500 m in Chicago.

The statement A doesn't express the same scale.

B. 1 mm on the map represents 10 m in Chicago?

1 mm = 0.1 cm

Rule of three:

1 cm represents 100 m

0.1 cm represents x

x = (0.1 cm). (100 m) / (1 cm)

x=10 m

1 mm = 0.1 cm on the map represents 10 m in Chicago.

The statement B expresses the same scale.

C. 1 km in Chicago is represented by 10 cm on the map?

1 km = 1,000 m

Rule of three:

1 cm represents 100 m

x represents 1,000 m

x = (1 cm). (1,000 m) / (100 m)

x=10 cm

1 km = 1,000 m in Chicago is represented by 10 cm on the map.

The statement C expresses the same scale.

D. 100 cm in Chicago is represented by 1 m on the map?

100 cm = 1 m

Rule of three:

1 cm represents 100 m

x represents 1 m

x = (1 cm). (1 m) / (100 m)

x=0.01 cm

100 cm = 1 m in Chicago is represented by 0.01 cm on the map.

The statement D doesn't express the same scale.