Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply. 35 cm to 1 km 1 mm to 150 km 1 mm to 500 m 5 mm to 2.5 km 3 cm to 15 km
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the scale:
1cm to 5 km
Determine which scale is it equivalent to.
We can determine it by finding the common ratio between the two given numerical values.
1 km = 100,000 cm
1 cm : 5 km
1 cm : 500,000
Common ratio = 500,000
Choices:
A. 35 cm to 1 km
35 cm :100,000 cm
Common ratio = 2,857.14 (not equal)
B. 1 mm to 150 km
1km= 1,000,000 mm
1mm : 150,000,000mm
Common ratio: 150,000,000 (not equal)
C. 1mm to 500m
1m = 1000mm
1mm : 500,000 mm
Common ratio = 500,000 (equal)
D. 5mm to 2.5km
1km= 1,000,000 mm
2,500,000 : 5mm
Common Ratio = 500,000 (equal)
E. 3 cm to 15km
3 cm: 1,500,000
Common Ratio = 500,000 (equal)
Final answer:
1cm to 5km is equivalent to
1mm to 500 m
5mm to 2.5 km
3cm to 15 km