Question

on a map of chicago, 1 cm represents 100 m. select all statements that express the same scale. (lesson 1 - 5)
a) 5 cm on the map represents 50 m in chicago.
b) 1 mm on the map represents 10 m in chicago.
c) 1 km in chicago is represented by 10 cm on the map.
d) 100 cm in chicago is represented by 1 m on the map.

Explanation:

Step1: Analyze option A

Given 1 cm represents 100 m, then 5 cm should represent $5\times100 = 500$ m, not 50 m. So option A is incorrect.

Step2: Analyze option B

Since 1 cm = 10 mm and 1 cm represents 100 m, then 1 mm represents $\frac{100}{10}=10$ m. Option B is correct.

Step3: Analyze option C

Since 1 km = 1000 m and 1 cm represents 100 m, then for 1000 m, the length on the map is $\frac{1000}{100}=10$ cm. Option C is correct.

Step4: Analyze option D

100 cm = 1 m, and 1 cm represents 100 m, so 1 m in Chicago should be represented by $\frac{1}{100}=0.01$ cm on the map, not 1 m on the map. Option D is incorrect.

Answer:

B. 1 mm on the map represents 10 m in Chicago, C. 1 km in Chicago is represented by 10 cm on the map